References
- Al-shami T.M., (2,1)-Fuzzy sets: properties, weighted aggregated operators and their applications to multi-criteria decision-making methods, Complex Intell. Syst. 9 (2023) 1687-1705.
- Al-Shami T.M., Alshammari I., Rough sets models inspired by supra-topology structures, Artif. Intell. Rev., 56 (7) (2023) 6855-6883.
- Al-Shami T.M., Mhemdi A., Approximation operators and accuracy measures of rough sets from an infra-topology view, Soft Comput. 27 (2023) 1317-1330.
- Al-shami T.M., Mhemdi A., Generalized frame for orthopair fuzzy sets: (m,n)-Fuzzy sets and their applications to multi-criteria decision-making methods, Information, 4 (1) (2023) p56.
- Bağirmaz N., Near ideals in near semigroups, Eur. J. Pure Appl. Math., 11 (2018), 505-516.
- Bagirmaz N., Near approximations in groups, Appl. Algebra Eng. Commun.Comput, 30(4) (2019), 285-297.
- Chang C. C., Algebraic analysis of many valued logics, Transactions of the American Mathematical Society, 88 (1958), 467-490.
- Chang C. C., A new proof of the completeness of the Lukasiewicz axioms, Transactions of the American Mathematical society, 93 (1959), 74-80.
- Cignoli R., D’Ottavaviano I., Mundici D., Algebraic Foundation of Many-Valued-Reasoning, Kluwer, Dorderecht, 2000.
- Davvaz B., Roughness based on fuzzy ideals, Information Sciences, 176 (2006), 2417-2437.
- Davvaz B., Roughness in rings, Information Sciences, 164 (2004), 147-163.
- Davvaz B., Mahdavipour M., Rough approximations in a general approximation space and their fundamental properties, International Journal General System, 37(3) (2008), 373-386.
- Davvaz B., Rough sets in a fundamental ring, Bull. Iranian Math. Soc. 24 (2) (1998), 49-61.
- Davvaz B., Soleha D.,Setyawati W., Mukhlash I., Near approximations in modules, Foundation of Computing and Decision Science, 46(4) (2021), 319-337.
- Hasankhani A., Saadat H., Some quotients on a BCK-algebra generated by a fuzzy set, Iranian Journal of Fuzzy Systems, 1(2) (2004) 33-43.
- Hoo C. S., Fuzzy ideals of BCI and MV -algebras, Fuzzy Sets and Systems, 62 (1994), 111-114.
- Ibrahim H.Z.,Al-shami T.M.,Arar M., Hosny M., Knm-Rung picture fuzzy information in a modern approach to multi-attribute group decision-making, Complex Intell. Syst., 10 (2) (2023) 2605-2625.
- ˙Inan E.,Öztürk M.A., Near semigroups on nearness approximation spaces, Ann. Fuzzy Math. Inform., 10(2) (2015), 287-297.
- ˙Inan E.,Öztürk M.A., Near groups on nearness approximation spaces, Hacet. J. Math. Stat., 41(4) (2012), 545-558.
- Kondo M., On the structure of generalized rough sets, Information Sciences, 176 (2006), 589-600.
- Kuroki N., Rough ideals in semigroups, Information Sciences, 100 (1997), 139-163.
- Kuroki N., Wang P.P., The lower and upper approximations in a fuzzy group, Information Sciences, 90 (1996), 203-220.
- Li F., Yin Y., Lu L., ( θ, T )-fuzzy rough approximation operators and TL-fuzzy rough ideals on a ring, Information Sciences, 177 (2007), 4711-4726.
- Liu W.J., Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets Syst., 8 (1982), 133-139.
- Liu W.J., Operations on fuzzy ideals, Fuzzy Sets Syst., 11 (1983), 31-41.
- Lin T. Y., Topological and fuzzy rough sets, in: R. Slowinski (Ed.), Intelligent Decision Support: Handbook of Applications and Advances of the Rough Sets Theory, Kluwer Academic Publishers, Boston, 1992, pp. 287-304.
- Mukherjee T.K., Sen M.K., On fuzzy ideals in rings 1, Fuzzy Sets Syst. 21 (1987), 99-104.
- Mostafavi M., Davvaz B., Near polygroups on nearness approximation spaces, New Mathematics and Natural Computation, 18(3) (2022), 593-613.
- Mostafavi M., Davvaz B., Near semihypergroups on nearness approximation spaces, Computational and Applied Mathematics, 42 (2023), 344.
- Pawlak Z., Rough sets: Theoretical aspects of reasoning about data, Kluwer academic Publishers, Dordrecht, 1991.
- Pawlak Z., Rough sets, International Journal of Computer Sciences, 11 (1982), 341-356.
- Peters J. F., Su ciently near sets of neighbourhoods, in: J. Yao, S. Ramanna, G. Wang, Z. Suraj (eds.), Rough Sets and Knowledge Technology, LNCS 6954, Springer, Berlin, 1724, 2011.
- Peters J. F., Classification of perceptual objects by means of features, International Journal of Information Technology and Intelligent Computing, 3(2) (2008), 1-35
- Peters J. F., Naimpally S., Approach spaces for near filters, Gen. Math. Notes, 2(1) (2011), 159-164.
- Peters J.F., Tiwari S., Approach merotopies and near filters, Gen. Math. Notes, 3(1) (2011), 1-15.
- Peters J. F., Near sets, general theory about nearness of objects, Appl. Math. Sci., 1(53) (2007), 2609-2629.
- Peters J. F., Wasilewski P., Foundations of near sets, Information Sciences,, 179 (2009), 3091-3109.
- Piciu D., Algebras of fuzzy logic, Universitaria Craiova, 2007.
- Rasouli S., Davvaz B., Roughness in MV -algebras, Information Sciences, 180 (2010), 737-747.
- Rosenfeld A., Fuzzy groups, J. Math. Anal. Appl., 35 (1971), 512-517.
- Setyawati D. W., Soleha, Subiono, Mukhlash I., Rinwati, Davvaz B., Application of near approximations in Cayley graphs, Discrete Mathematics, Algorithms and Applications, 15(8) (2023), 2250180 (31 pages).
- Wang C., Wu C., Chen D., A systematic study on attribute reduction with rough sets based on general binary relations, Information Sciences, 178 (2008), 2237-2261.
- Yang X. -P., Minimization of axiom sets on fuzzy approximation operators, Information Sciences, 177 (2007), 3840-3854.
- Yang Y., John R., Roughness bounds in rough set operations, Information Sciences, 176 (2007), 4997-5011.
- Yao Y. Y., Two views of the theory of rough sets in finite universes, International Journal of Approximation Reasoning, 15 (1996), 291-317.
- Zadeh L.A., The concept of linguistic variable and its applications to approximate reasoning, Part I, Information Sciences, 8 (1975), 199-249 Part II, Information Sciences, 8 (1975), 301-357 Part III, Information Sciences, 9 (1976), 43-80.
- Zadeh L.A., Fuzzy sets, Inform. Cont., 8 (1965), 338-353.
- Zhu W., Generalized rough sets based on relations, Information Sciences, 177 (2007), 1499-1508.