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Sets, Graphs, and Things We Can See: A Formal Combinatorial Ontology for Empirical Intra-Site Analysis Cover

Sets, Graphs, and Things We Can See: A Formal Combinatorial Ontology for Empirical Intra-Site Analysis

Open Access
|Apr 2019

References

  1. 1Achino, KF and Barceló, JA. 2018. Spatial Prediction: Reconstructing the Spatiality of Social Activities at the Intra-Site Scale. Journal of Archaeological Method and Theory. DOI: 10.1007/s10816-018-9367-1
  2. 2Agrawal, R, Gehrke, J, Gunopulos, D and Raghavan, P. 1998. Automatic subspace clustering of high dimensional data for data mining applications. ACM SIGMOD Record, 27(2): 94105. DOI: 10.1145/276305.276314
  3. 3Ahlswede, R, Alon, N, Erdős, PL, Ruszinkó, M and Székely, LA. 1997. Intersecting systems. Combinatorics, Probability and Computing, 6(2): 127137. DOI: 10.1017/S0963548397003003
  4. 4Aldenderfer, MS. 1998. Quantitative methods in archaeology: A review of recent trends and developments. Journal of Archaeological Research, 6(2): 91120. DOI: 10.1007/BF02446161
  5. 5Ammerman, AJ. 1992. Taking Stock of Quantitative Archaeology. Annual Review of Anthropology, 21(1): 231249. DOI: 10.1146/annurev.an.21.100192.001311
  6. 6Arkin, EM and Hassin, R. 1998. On Local Search for Weighted k-Set Packing. Mathematics of Operations Research, 23(3): 640648. DOI: 10.1287/moor.23.3.640
  7. 7Ascher, R. 1961. Analogy in Archaeological Interpretation. Southwestern Journal of Anthropology, 17(4): 317325. DOI: 10.1086/soutjanth.17.4.3628943
  8. 8Bahmanian, MA and Šajna, M. 2015. Hypergraphs: connection and separation. arXiv ePrints, 131. arXiv: 1504.04274.
  9. 9Bailey, G. 2007. Time perspectives, palimpsests and the archaeology of time. Journal of Anthropological Archaeology, 26(2): 198223. DOI: 10.1016/j.jaa.2006.08.002
  10. 10Bárány, I. 2005. Applications of Graph and Hypergraph Theory in Geometry. Combinatorial and Computational Geometry, 52: 3150.
  11. 11Barceló, JA. 1996. Heuristic classification and fuzzy sets. New tools for archaeological typologies. In: Kamermans, H and Fennema, K (eds.), Interfacing the Past: Computer Applications and Quantitative Methods in Archaeology 1995, 155164. Analecta Praehistorica Leidensia 28. Leiden University Press.
  12. 12Barceló, JA. 2008. Towards a True Automatic Archaeology: Integrating Technique and Theory. In: Posluschny, A, Lambers, K and Herzog, I (eds.), Layers of Perception. Proceedings of the 35th International Conference on Computer Applications and Quantitative Methods in Archaeology, Berlin, Germany, April 2–6, 2007, 413417. Bonn: Dr. Rudolf Habelt.
  13. 13Barceló, JA and Bogdanovic, I. (eds.) 2015. Mathematics and Archaeology. Boca Raton: CRC Press. DOI: 10.1201/b18530
  14. 14Barceló, JA and Maximiano, A. 2008. Some notes regarding distributional analysis of spatial data. In: Posluschny, A, Lambers, K and Herzog, I (eds.), Layers of Perception. Proceedings of the 35th International Conference on Computer Applications and Quantitative Methods in Archaeology, Berlin, Germany, April 2–6, 2007, 16. June 2016. Bonn: Dr. Rudolf Habelt.
  15. 15Baxter, MJ. 2003. Statistics in archaeology. London: Arnold.
  16. 16Baxter, MJ. 2009. Archaeological data analysis and fuzzy clustering. Archaeometry, 51(6): 10351054. DOI: 10.1111/j.1475-4754.2008.00449.x
  17. 17Baxter, MJ, Beardah, CC, Cool, HEM and Jackson, CM. 2005. Compositional analysis of archaeological glasses. Mathematical Geology, 37(2): 183196. DOI: 10.1007/s11004-005-1308-3
  18. 18Baxter, MJ and Cool, HEM. 1995. Notes on Some Statistical Aspects of Pottery Quantification. Medieval Ceramics, 19: 8998.
  19. 19Baxter, MJ and Freestone, IC. 2003. Log-ratio analysis in archaeometry Glass compositional data. Archaeometry, 48(3): 511531. DOI: 10.1111/j.1475-4754.2006.00270.x
  20. 20Bellanger, L, Tomassone, R and Husi, P. 2008. A statistical approach for dating archaeological contexts. Journal of Data Science, 6: 135154.
  21. 21Berge, C. 1973. Graphs and hypergraphs, 6. North-Holland mathematical library. Amsterdam: North-Holland.
  22. 22Berge, C. 1984. Hypergraphs: combinatorics of finite sets, 45. North-Holland mathematical library. Amsterdam: North Holland.
  23. 23Berge, C and Ray-Chaudhuri, D. (eds.) 2006. Hypergraph seminar: Ohio state university, 1972, 411. Lecture notes in mathematics. Berlin: Springer-Verlag.
  24. 24Bevan, A and Conolly, J. 2009. Modelling spatial heterogeneity and nonstationarity in artifact-rich landscapes. Journal of Archaeological Science, 36(4): 956964. DOI: 10.1016/j.jas.2008.11.023
  25. 25Bevan, A, Crema, ER, Li, X and Palmisano, A. 2013. Intensities, interactions and uncertainties: some new approaches to archaeological distributions. In: Bevan, A and Lake, MW (eds.), Computational Approaches to Archaeological Spaces. Walnut Creek: Left Coast Press.
  26. 26Binford, LR. 1962. Archaeology as Anthropology. American Antiquity, 28(2): 217225. DOI: 10.1007/s10816-010-9080-1
  27. 27Binford, LR. 1981. Behavioral Archaeology and the ‘Pompeii Premise’. Journal of Anthropological Research, 37(3): 195208. DOI: 10.1086/jar.37.3.3629723
  28. 28Björklund, A, Husfeldt, T and Koivisto, M. 2009. Set Partitioning via Inclusion-Exclusion. SIAM Journal on Computing, 39(2): 546563. DOI: 10.1137/070683933
  29. 29Blizard, WD. 1988. Multiset Theory. Notre Dame Journal of Formal Logic, 30(1): 3666. DOI: 10.1305/ndjfl/1093634995
  30. 30Blizard, WD. 1991. The development of multiset theory. Modern Logic, 1(4): 319352.
  31. 31Brandt, R, Groenewoudt, BJ and Kvamme, KL. 1992. An experiment in archaeological site location: Modeling in the Netherlands using GIS techniques. World Archaeology, 24(2): 268282. DOI: 10.1080/00438243.1992.9980207
  32. 32Bretto, A. 2013. Hypergraph Theory: An Introduction. Heidelberg: Springer. DOI: 10.1007/978-3-319-00080-0
  33. 33Bunge, M. 1963. A General Black Box Theory. Philosophy of Science, 30(4): 346358. DOI: 10.1086/287954
  34. 34Caprara, A, Kellerer, H, Pferschy, U and Pisinger, D. 2000. Approximation algorithms for knapsack problems with cardinality constraints. European Journal of Operational Research, 123(2): 333345. DOI: 10.1016/S0377-2217(99)00261-1
  35. 35Cardinal, JS. 2015. Analysis of Data Recovery Assemblages. In: Davis, NL (ed.), Fort Edward Village Site, Fort Edward Feeder Canal Bridge Site, and Hilfinger Pottery Site, 3886. Cultural Resource Survey Program 8. The New York State Education Department. Chap. 3.
  36. 36Carr, C. 1984. The Nature of Organization of Intrasite Archaeological Records and Spatial Analytic Approaches to Their Investigation. In: Advances in Archaeological Method and Theory, 7: 103222. Elsevier. DOI: 10.1016/B978-0-12-003107-8.50008-6
  37. 37Clarke, DL. 1968. Analytical archaeology. London: Methuen & Co Ltd.
  38. 38Colbourn, CJ, Kocay, WL and Stinson, DR. 1986. Some NP-complete problems for hypergraph degree sequences. Discrete Applied Mathematics, 14(3): 239254. DOI: 10.1016/0166-218X(86)90028-4
  39. 39Cowgill, GL. 1968. Archaeological Applications of Factor, Cluster, and Proximity Analysis. American Antiquity, 33(3): 367. DOI: 10.2307/278705
  40. 40Crema, ER, Bevan, A and Lake, MW. 2010. A probabilistic framework for assessing spatio-temporal point patterns in the archaeological record. Journal of Archaeological Science, 37(5): 11181130. DOI: 10.1016/j.jas.2009.12.012
  41. 41Davis, NL. (ed.) 2015. Fort Edward Village Site, Fort Edward Feeder Canal Bridge Site, and Hilfinger Pottery Site. Cultural Resource Survey Program 8. The New York State Education Department.
  42. 42DeLanda, M. 2006. A new philosophy of society. Assemblage theory and social complexity. London: Continuum.
  43. 43Deleuze, G and Guattari, F. 1987. A thousand plateaus. Capitalism and schizophrenia. Trans. by Massumi, B, 2. Minneapolis: University of Minnesota Press.
  44. 44Dewar, M, Healy, J, Pérez-Giménez, X, Prałat, P, Proos, J, Reiniger, B and Ternovsky, K. 2016. Subgraphs in Non-uniform Random Hypergraphs. In: Bonato, A, Graham, FC and Prałat, P (eds.), Algorithms and Models for the Web Graph, 140151. Lecture Notes in Computer Science 10088. Springer, Cham. DOI: 10.1007/978-3-319-49787-7_12
  45. 45Dewar, RE. 1986. Discovering settlement systems of the past in New England site distributions. Man in the Northeast, 31: 7788.
  46. 46Djindjian, F. 2015. A short history of the beginnings of mathematics in archaeology. In: Barceló, JA and Bogdanovic, I (eds.), Mathematics and Archaeology, 6585. CRC Press. DOI: 10.1201/b18530
  47. 47Dubois, D and Prade, H. 2015. The legacy of 50 years of fuzzy sets: A discussion. Fuzzy Sets and Systems, 281: 2131. DOI: 10.1016/j.fss.2015.09.004
  48. 48Dunnell, RC and Dancey, WS. 1983. The Siteless Survey: A Regional Scale Data Collection Strategy. Advances in Archaeological Method and Theory, 6(1983): 267287. DOI: 10.1016/B978-0-12-003106-1.50012-2
  49. 49Erdős, P, Rothschild, BL and Singhi, NM. 1977. Characterizing cliques in hypergraphs. Ars Combinatoria, 4: 81118. January 1977.
  50. 50Fieller, NRJ. 1993. Archaeostatistics: Old Statistics in Ancient Contexts. The Statistician, 42(3): 279. DOI: 10.2307/2348807
  51. 51Fowler, C. 2017. Relational Typologies, Assemblage Theory and Early Bronze Age Burials. Cambridge Archaeological Journal, 27(1): 95109. DOI: 10.1017/S0959774316000615
  52. 52Gargano, L and Hammar, M. 2009. A note on submodular set cover on matroids. Discrete Mathematics, 309(18): 57395744. DOI: 10.1016/j.disc.2008.05.019
  53. 53Gasche, H and Tunca, Ö. 1983. Guide to Archaeostratigraphic Classification and Terminology: Definitions and Principles. Journal of Field Archaeology, 10(3): 325. DOI: 10.2307/529547
  54. 54Guarino, N. 1995. Formal ontology, conceptual analysis and knowledge representation. International journal of human-computer studies, 43(5–6): 625640. DOI: 10.1006/ijhc.1995.1066
  55. 55Halldórsson, MM and Losievskaja, E. 2009. Independent sets in bounded-degree hypergraphs. Discrete Applied Mathematics, 157(8): 17731786. DOI: 10.1016/j.dam.2008.11.013
  56. 56Hamilakis, Y and Jones, AM. 2017. Archaeology and Assemblage. Cambridge Archaeological Journal, 27(1): 7784. DOI: 10.1017/S0959774316000688
  57. 57Harris, EC. 1989. Principles of Archaeological Stratigraphy, 2nd ed. San Diego: Academic Press.
  58. 58Hermon, S and Niccolucci, F. 2010. A fuzzy logic approach to typology in archaeological research. Proceedings of CAA2004, Prato 13–17 April 2004. In: Niccolucci, F and Hermon, S (eds.), Beyond the Artifact. Digital Interpretation of the Past, 2835. Oxford: Archaeopress.
  59. 59Hermon, S, Niccolucci, F, Alhaique, F, Iovino, M-R and Leonini, V. 2004. Archaeological Typologies – an Archaeological Fuzzy Reality. In: Fischer-Ausserer, K, Börner, W, Goriany, M and Karlhuber-Vöckl, L (eds.), Enter the Past. The E-way into the four Dimensions of Cultural Heritage, 3034. CAA 2003. Computer Applications and Quantitative Methods in Archaeology. BAR International Series 1227.
  60. 60Herzog, I. 1995. Combining stratigraphic information and finds. In: Wilcock, J and Lockyear, K (eds.), CAA 93 (1993), 109114. BAR International Series 598. Computer Applications and Quantitative Methods in Archaeology. Oxford: Tempus Reparatum.
  61. 61Herzog, I. 2001. Possibilities for Analysing Stratigraphic Data. In: Archäologie und Computer, 11. Workshop 6. Vienna: Phoibos Verlag.
  62. 62Herzog, I and Hansohm, J. 2008. Monotone Regression–A Method for Combining Dates and Stratigraphy. Tech. rep. Paper presented at the Workshop 12 “Archäologie und Computer. Kulturelles Erbe und neue Technologien” held in Vienna 2007, 111. Bonn, Germany: The Rhineland Commission for Archaeological Monuments and Sites.
  63. 63Hickman, JL. 1980. A note on the concept of multiset. Bulletin of the Australian Mathematical society, 22(2): 211217. DOI: 10.1017/S000497270000650X
  64. 64Hicks, D. 2010. The Material-Cultural Turn: Event and effect. In: Hicks, D and Beaudry, MC (eds.), The Oxford Handbook of Material Culture Studies, 2599. Oxford: Oxford University Press. Chap. 2.
  65. 65Hicks, D. 2012. The Material-Cultural Turn. In: Hicks, D and Beaudry, MC (eds.), 1: 2598. Oxford University Press. DOI: 10.1093/oxfordhb/9780199218714.013.0002
  66. 66Hietala, HJ and Stevens, DE. 1977. Spatial analysis: multiple procedures in pattern recognition studies. American Antiquity, 42(4): 539559. DOI: 10.2307/278927
  67. 67Hodder, I and Orton, C. 1976. Spatial analysis in archaeology. New studies in archaeology 1. Cambridge: Cambridge University Press.
  68. 68Hodson, FR. 1969. Searching for structure within multivariative archaeological data. World Archaeology, 1(1): 90105. DOI: 10.1080/00438243.1969.9979430
  69. 69Jarosław, J and Hildebrandt-Radke, I. 2009. Using multivariate statistics and fuzzy logic system to analyse settlement preferences in lowland areas of the temperate zone: an example from the Polish Lowlands. Journal of Archaeological Science, 36(10): 20962107. DOI: 10.1016/j.jas.2009.06.004
  70. 70Kapovich, I and Nagnibeda, T. 2013. Subset currents on free groups. Geometriae Dedicata, 166(1): 307348. DOI: 10.1007/s10711-012-9797-y
  71. 71Karp, RM. 1972. Reducibility among Combinatorial Problems. In: Miller, RE, Thatcher, JW and Bohlinger, JD (eds.), Complexity of Computer Computations, 85103. Boston, MA: Springer. DOI: 10.1007/978-1-4684-2001-2_9
  72. 72Keevash, P and Mycroft, R. 2015. A geometric theory for hypergraph matching. Memoirs of the American Mathematical Society, 233(1098). DOI: 10.1090/memo/1098
  73. 73King, JL and Moll, RG. 1972. Set Theory Models: an Approach to taxonomic and locational relationships. In: Clarke, DL (ed.), Models in archaeology, 73555. Methuen and Co. Ltd. London.
  74. 74Kintigh, KW. 1990. Intrasite spatial analysis: A commentary on major methods. In: Voorrips, A (ed.), Mathematics and Information Science in Archaeology: A Flexible Framework, 3: 165200. Bonn: Holos.
  75. 75Klein, F, Norambuena, N, Rosselot, S, Vaccaro, H, Cádiz, H, Martínez, E and Gana, J. 1983. Using fuzzy logic to manage uncertain multi-modal data in an archaeological GIS. Revista chilena de obstetricia y ginecologia, 48(4): 255262.
  76. 76Koetje, TA. 1991. Simulated Archaeological Levels and the Analysis of Le Flageolet II, the Dordogne, France. Journal of Field Archaeology, 18(2): 187198. DOI: 10.1179/009346991792208399
  77. 77Kvamme, KL. 1990. The fundamental principles and practice of predictive archaeological modeling. In: Voorrips, A (ed.), Mathematics and information science in archaeology: A flexible framework, 257. Bonn: Holos.
  78. 78Kvamme, KL. 1999. Recent Directions and Developments in Geographical Information Systems. Journal of Archaeological Research, 7(2): 153201. DOI: 10.1007/s10814-005-0002-9
  79. 79Lake, J. 1976. Sets, fuzzy sets, multisets and functions. Journal of the London Mathematical Society, s2–12(3): 323326. DOI: 10.1112/jlms/s2-12.3.323
  80. 80Langfelder, P and Horvath, S. 2008. WGCNA: an R package for weighted correlation network analysis. BMC bioinformatics, 9(1): 559. DOI: 10.1186/1471-2105-9-559
  81. 81Li, A and Horvath, S. 2007. Network neighborhood analysis with the multi-node topological overlap measure. Bioinformatics, 23(2): 222231. DOI: 10.1093/bioinformatics/btl581
  82. 82Lockyear, K. 2013. Applying bootstrapped Correspondence Analysis to archaeological data. Journal of Archaeological Science, 40(12): 47444753. DOI: 10.1016/j.jas.2012.08.035
  83. 83Loughmiller-Cardinal, J. 2018. Distinguishing the Uses, Functions, and Purposes of Classic Maya ‘Chocolate’ Containers: Not All Cups Are for Drinking. Ancient Mesoamerica, 118. DOI: 10.1017/S0956536117000359
  84. 84Lyman, RL. 2012. A Historical Sketch on the Concepts of Archaeological Association, Context, and Provenience. Journal of Archaeological Method and Theory, 19(2): 207240. DOI: 10.1007/s10816-011-9107-2
  85. 85Lyman, RL and O’Brien, MJ. 2001. The direct historical approach, analogical reasoning, and theory in Americanist archaeology. Journal of Archaeological Method and Theory, 8(4): 303342. DOI: 10.1023/A:1013736416067
  86. 86Madgwick, R and Mulville, J. 2015. Reconstructing depositional histories through bone taphonomy: Extending the potential of faunal data. Journal of Archaeological Science, 53: 255263. DOI: 10.1016/j.jas.2014.10.015
  87. 87McCoy, MD and Ladefoged, TN. 2009. New Developments in the Use of Spatial Technology in Archaeology. Journal of Archaeological Research, 17(3): 263295. DOI: 10.1007/s10814-009-9030-1
  88. 88Merrill, M. 2015. Lattice Theory to Discover Spatially Cohesive Sets of Artifacts. In: Barceló, JA and Bogdanovic, I (eds.), Mathematics and Archaeology, 383401. June 2015. CRC Press. DOI: 10.1201/b18530-24
  89. 89Merrill, M and Read, DW. 2010. A New Method Using Graph and Lattice Theory to Discover Spatially Cohesive Sets of Artifacts and Areas of Organized Activity in Archaeological Sites. American Antiquity, 75(3): 419451. DOI: 10.7183/0002-7316.75.3.419
  90. 90Miyamoto, S. 2001. Fuzzy multisets and their generalizations. Multiset Processing: Mathematical, Computer Science, and Molecular Computing Points of View, Calude, CS and Rozenberg, G (eds.), 2235: 225235. May. DOI: 10.1007/3-540-45523-X_11
  91. 91Miyamoto, S. 2004. Multisets and Fuzzy Multisets as a Framework of Information Systems. In: Torra, V and Narukawa, Y (eds.), Modeling Decisions for Artificial Intelligence, Proceedings, 2740. Berlin: Springer. DOI: 10.1007/978-3-540-27774-3_4
  92. 92Murawski, C and Bossaerts, P. 2016. How Humans Solve Complex Problems: The Case of the Knapsack Problem. Scientific Reports, 6: 110. September. DOI: 10.1038/srep34851
  93. 93Niccolucci, F and Hermon, S. 2002. Estimating subjectivity of typologists and typological classification with fuzzy logic logic. Archeologia e Calcolatori, 13: 217232.
  94. 94Normark, J. 2010. Involutions of Materiality. Journal of Archaeological Method and Theory, 17(2): 132173. DOI: 10.1007/s10816-010-9079-7
  95. 95Ordman, ET. 1995. Cliques in hypergraphs and mutual exclusion using tokens. Journal of Combinatorial Mathematics and Combinatorial Computing, 19: 209224.
  96. 96Östborn, P and Gerding, H. 2014. Network Analysis of Archaeological Data: a Systematic Approach. Journal of Archaeological Science, 46(1): 7588. DOI: 10.1016/j.jas.2014.03.015
  97. 97Paquette, J and Tokuyasu, T. 2011. Hypergraph visualization and enrichment statistics: how the EGAN paradigm facilitates organic discovery from big data. In: Rogowitz, BE and Pappas, TN (eds.), Human Vision and Electronic Imaging XVI, 7865: 78650E. DOI: 10.1117/12.890220
  98. 98Peeples, MA and Schachner, G. 2012. Refining correspondence analysis-based ceramic seriation of regional data sets. Journal of Archaeological Science, 39(8): 28182827. DOI: 10.1016/j.jas.2012.04.040
  99. 99Petrie, WMF. 1899. Sequences in Prehistoric Remains. The Journal of the Anthropological Institute of Great Britain and Ireland, 29(3/4): 295. DOI: 10.2307/2843012
  100. 100Puyol-Gruart, J. 1999. Computer science, artificial intelligence and Archaeology. In: Barceló, JA, Briz, I and Vila, A (eds.), New Techniques for Old Times, 1–15. CAA98. Computer Applications and Quantitative Methods in Archaeology. Proceedings of the 26th Conference, Barcelona, March 1998 (BAR International Series 757). Archaeopress.
  101. 101Read, DW. 1974. Some Comments on the Use of Mathematical Models in Anthropology. American Antiquity, 39(1): 3. DOI: 10.2307/279215
  102. 102Read, DW. 1989. Statistical methods and reasoning in archaeological research: A review of praxis and promise. Journal of Quantitative Anthropology, 1: 578.
  103. 103Richards, JD. 1998. Recent trends in computer applications in archaeology. Journal of Archaeological Research, 6(4): 331382. DOI: 10.1007/BF02446083
  104. 104Robinson, WS. 1951. A Method for Chronologically Ordering Archaeological Deposits. American Antiquity, 16(4): 293301. DOI: 10.2307/276978
  105. 105Schiffer, MB. 1972. Archaeological Context and Systemic Context. American Antiquity, 37(2): 156165. DOI: 10.2307/278203
  106. 106Schiffer, MB. 1983. Toward the Identification of Formation Processes. American Antiquity, 48(4): 675706. DOI: 10.2307/279771
  107. 107Schiffer, MB. 1985. Is There a ‘Pompeii Premise’ in Archaeology? Journal of Anthropological Research, 41(1): 1841. DOI: 10.1086/jar.41.1.3630269
  108. 108Schiffer, MB. 1987. Formation processes of the archaeological record, 1st ed. Albuquerque, NM: University of New Mexico Press.
  109. 109Segundo, PS, Tapia, C and Lopez, A. 2013. Watching subgraphs to improve efficiency in maximum clique search. In: Ali, M, Bosse, T, Hindriks, K, Hoogendoorn, M, Jonker, C and Treur, J (eds.), Contemporary Challenges and Solutions in Applied Artificial Intelligence, 489: 115122. Springer. DOI: 10.1007/978-3-319-00651-2_16
  110. 110Shott, MJ. 1998. Status and Role of Formation Theory in Contemporary Archaeological Practice. Journal of Archaeological Research, 6(4): 299329. DOI: 10.1007/BF02446082
  111. 111Singh, D, Alkali, A and Ibrahim, AM. 2013. An Outline of the Development of the Concept of Fuzzy Multisets. International Journal of Innovation, Management and Technology, 4(2): 25. DOI: 10.7763/IJIMT.2013.V4.393
  112. 112Singh, D, Ibrahim, AM, Yohanna, T and Singh, JN. 2007. An Overview of the Applications of Multisets. Novi Sad Journal of Mathematics, 37(3): 7392.
  113. 113Song, L, Langfelder, P and Horvath, S. 2012. Comparison of co-expression measures: mutual information, correlation, and model based indices. BMC Bioinformatics, 13(1): 328. DOI: 10.1186/1471-2105-13-328
  114. 114Sowa, JF. 2000. Knowledge representation: logical, philosophical, and computational foundations. Pacific Grove, CA: Brooks/Cole.
  115. 115Spikins, P, Conneller, C, Ayestaran, H and Scaife, B. 2002. GIS Based Interpolation Applied to Distinguishing Occupation Phases of Early Prehistoric Sites. Journal of Archaeological Science, 29(11): 12351245. DOI: 10.1006/jasc.2001.0752
  116. 116Sullivan, AP. 1978. Inference and evidence in archaeology: a discussion of the conceptual problems. Advances in archaeological method and theory, 1(1978): 183222. DOI: 10.1016/B978-0-12-003101-6.50012-3
  117. 117Syropoulos, A. 2001. Mathematics of Multisets. In: Calude, CS, Paun, G, Rozenberg, G and Salomaa, A (eds.), Multiset Processing SE – 17, 2235: 347358. August. Berlin, Heidelberg: Springer. DOI: 10.1007/3-540-45523-X_17
  118. 118Syropoulos, A. 2012. On Generalized Fuzzy Multisets and their Use in Computation. Iranian Journal of Fuzzy Systems, 9(2): 113125. arXiv: 1208.2457v1.
  119. 119Tang, Q, Peng, Y, Zhang, X and Zhao, C. 2013. On hypergraph cliques and polynomial programming. ArXiv ePrints. arXiv: 1312.6973.
  120. 120Thomas, J. 2015. The future of archaeological theory. Antiquity, 89(348): 12871296. December. DOI: 10.15184/aqy.2015.183
  121. 121Turchin, V. 1993. On cybernetic epistemology. Systems Research and Behavioral Science, 10(1): 128. DOI: 10.1002/sres.3850100102
  122. 122Tzouvaras, A. 1998. The linear logic of multisets. Logic Journal of IGPL, 6(6): 901916. DOI: 10.1093/jigpal/6.6.901
  123. 123User:Kilom691. 2010. A hypergraph with 7 vertices and 4 edges. Hypergraph.svg: Kilom691, derivative work: Pgdx [CC BY-SA 3.0 or GFDL]. Wikimedia Commons. URL: https://commons.wikimedia.org/wiki/File:Hypergraph-wikipedia.svg (visited on 05/07/2018).
  124. 124Van Leusen, M and Nobles, G. 2018. 3D Spatial Analysis: the Road Ahead. In: Matsumoto, M and Uleberg, E (eds.), Oceans of Data. Proceedings of the 44th Annual Conference on Computer Applications and Quantitative Methods in Archaeology, 471478. Oxford: Archaeopress Publishing, Ltd.
  125. 125Whallon, R. 1973. Spatial Analysis of Occupation Floors I: Application of Dimensional Analysis of Variance. American Antiquity, 38(3): 266278. DOI: 10.2307/279714
  126. 126Whallon, R. 1974. Spatial Analysis of Occupation Floors II: The Application of Nearest Neighbor Analysis. American Antiquity, 39(1): 1634. DOI: 10.2307/279216
  127. 127Willey, GR and Phillips, P. 1958. Method and Theory in American Archaeology. Chicago: University of Chicago Press.
  128. 128Witmore, C. 2014. Archaeology and the New Materialisms. Journal of Contemporary Archaeology, 1(2): 203246. DOI: 10.1558/jca.v1i2.16661
  129. 129Wylie, A. 1982. An analogy by any other name is just as analogical a commentary on the Gould-Watson dialogue. Journal of Anthropological Archaeology, 1(4): 382401. DOI: 10.1016/0278-4165(82)90003-4
  130. 130Wylie, A. 1985. The Reaction against Analogy. In: Advances in Archaeological Method and Theory, 63111. Elsevier. DOI: 10.1016/B978-0-12-003108-5.50008-7
  131. 131Wylie, A and Watson, RA. 1992. On scepticism, philosophy, and archaeological science. Current Anthropology, 33(2): 209214. DOI: 10.1086/204052
  132. 132Yager, RR. 1986. On the theory of bags. International Journal of General System, 13(1): 2337. DOI: 10.1080/03081078608934952
  133. 133Yip, AM and Horvath, S. 2007. Gene network interconnectedness and the generalized topological overlap measure. BMC bioinformatics, 8: 22. DOI: 10.1186/1471-2105-8-22
  134. 134Yuster, R. 2006. Finding and counting cliques and independent sets in r-uniform hypergraphs. Information Processing Letters, 99(4): 130134. DOI: 10.1016/j.ipl.2006.04.005
  135. 135Zadeh, LA. 1965. Fuzzy sets. Information and Control, 8(3): 338353. DOI: 10.1016/S0019-9958(65)90241-X
  136. 136Zadeh, LA. 1996. Fuzzy sets and information granularity. In: Klir, GJ and Yuan, B (eds.), Fuzzy Sets, Fuzzy Logic, And Fuzzy Systems: Selected Papers by Lotfi A. Zadeh, 6: 433448. Advances in Fuzzy Systems – Applications and Theory. World Scientific. DOI: 10.1142/2895
  137. 137Zadeh, LA. 1997. Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic. Fuzzy Sets and Systems, 90(2): 111127. DOI: 10.1016/S0165-0114(97)00077-8
  138. 138Zhang, B and Horvath, S. 2005. A General Framework for Weighted Gene Co-Expression Network Analysis. Statistical Applications in Genetics and Molecular Biology, 4(1). DOI: 10.2202/1544-6115.1128
  139. 139Zhou, D, Huang, J and Schölkopf, B. 2007. Learning with Hypergraphs: Clustering, Classification, and Embedding. In: Schölkopf, B, Platt, J and Hofmann, T (eds.), Advances in Neural Information Processing Systems. 20th Annual Conference on Neural Information Processing Systems (NIPS), 19: 16011608. Max-Planck-Gesellschaft. Cambridge: MIT Press.
DOI: https://doi.org/10.5334/jcaa.16 | Journal eISSN: 2514-8362
Language: English
Submitted on: Jun 22, 2018
Accepted on: Feb 22, 2019
Published on: Apr 16, 2019
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2019 J. Scott Cardinal, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.