The notion of intuitionistic fuzzy IC-bags

Kankana Chakrabarty

doi:10.2478/v10209-011-0003-z

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The notion of intuitionistic fuzzy IC-bags

Foundations of Computing and Decision Sciences

Volume 37 (2012): Issue 1 (March 2012)

By: Kankana Chakrabarty

Open Access

|Oct 2012

Abstract

This paper presents an overview of the existing notions of Bags, Fuzzy Bags, IC-Bags, IF-Bags and Fuzzy IC-Bags. Based on these notions, the concept of Intuitionistic Fuzzy Bags with Interval Counts (Intuitionistic fuzzy IC-Bags) is proposed. Further, some characteristics of Intuitionistic fuzzy IC-Bags are studied, and some examples are furnished in this context.

References

[1] Atanassov K.T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20,1, 1986, 87-96.10.1016/S0165-0114(86)80034-3
Search in Google Scholar
[2] Atanassov K.T., More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, 33,1, 1989, 37-46.10.1016/0165-0114(89)90215-7
Search in Google Scholar
[3] Blizard W. D., Multiset Theory, Notre Dame Journal of Formal Logic, 30, 1989, 36-66.10.1305/ndjfl/1093634995
Search in Google Scholar
[4] Chakrabarty K., Bags with Interval Counts, Foundations of Computing and Decision Sciences, 25, 2000, 23-36.
Search in Google Scholar
[5] Chakrabarty K., On Bags and Fuzzy Bags, in: R. John, R. Birkenhead (eds), Advances in Soft Computing, Soft Computing Techniques and Applications, Physica-Verlag, 2000, 201-212.
Search in Google Scholar
[6] Chakrabarty K., On IC-Bags, Proc(CD) International Conference on Computational Intelligence for Modelling, Control & Automation, USA, 2001.
Search in Google Scholar
[7] Chakrabarty K., IF-Bags in Decision Analysis, Notes on IFS,7,3, 2001.
Search in Google Scholar
[8] Chakrabarty K., Notion of Fuzzy IC-Bags, International Journal of Uncertainty, Fuzziness, and Knowledge-Based Systems, 12,3, 2004, 327-345.10.1142/S0218488504002850
Search in Google Scholar
[9] Chakrabarty K., Biswas R., Nanda S., On Yager’s theory of Bags and Fuzzy bags, Computers and Artificial Intelligence, 18,1, 1999, 1-17.
Search in Google Scholar
[10] Chakrabarty K., Biswas R., Nanda S., On IF-Bags, Notes on IFS, 5,2, 1999.
Search in Google Scholar
[11] Chakrabarty K., Biswas R., Nanda S., Fuzzy Shadows, Fuzzy Sets and Systems, 101,3, 1999, 413-421.10.1016/S0165-0114(97)00109-7
Search in Google Scholar
[12] Chakrabarty K., Decision Analysis using IC-Bags, International Journal of Information Technology and Decision Making, 3,1, 2004, 101-108.10.1142/S0219622004000994
Search in Google Scholar
[13] Chakrabarty K., Despi I., nk -bags, International Journal of Intelligent Systems, 22,2, 2007, 223-236.10.1002/int.20195
Search in Google Scholar
[14] Delgado M., Martin-Bautista M. J., Sanchez D., Vila M. A., On a characterization of fuzzy bags, in: Bilgic T., et al. (eds), IFSA2003, Lecture Notes in Artificial Intelligence, 2715, 2003, 119-126.10.1007/3-540-44967-1_13
Search in Google Scholar
[15] Delgado M., Martin-Bautista M. J., Sanchez D., An extended characterization of fuzzy bags, International Journal of Intelligent Systems, 24, 2009, 706-721.10.1002/int.20355
Search in Google Scholar
[16] Yager R. R., On the Theory of Bags, International Journal of General Systems, 13, 1986, 23-37.10.1080/03081078608934952
Search in Google Scholar
[17] Yager R.R., Cardinality of fuzzy sets via bags, Mathematical Modelling,9,6, 1987, 441-446.10.1016/0270-0255(87)90510-0
Search in Google Scholar
[18] Zadeh L.A., Fuzzy Sets, Inform Control, 8, 1965, 338-353.10.1016/S0019-9958(65)90241-X
Search in Google Scholar