Issue:Intuitionistic fuzzy n-ary systems

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Title of paper: Intuitionistic fuzzy n-ary systems Author(s): Wiesław Dudek Institute of Mathematics, Technical University, Wyb. Wyspiańskiego 27, 50-370 Wrocław, Poland dudek@im.pwr.wroc.pl Presented at: 3rd Conference of the European Society for Fuzzy Logic and Technology, Zittau, Germany, September 10-12, 2003 Published in: Conference proceedings, pages 198-205 Download:  PDF (143  Kb, File info) Abstract: We introduce the basic concepts on intuitionistic fuzzy sub-algebras on n-ary groupoids, i.e., on algebras containing one fundamental n-ary operation. We describe some similarities and differences between the n-ary and binary case. In the case of n-ary quasigroups and groups we suggest the common method of investigations based on some methods used in the universal algebra. Keywords: n-ary system, n-ary quasigroup, intuiutionistic fuzzy n-ary quasigroup References: K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96 V. D. Belousov, n-Ary Quasigroups, (Russian), Sţiinţa, Chişinău 1972. W. A. Dudek, Remarks on n-groups, Demonstratio Math. 13(1980), 165-181: W. A. Dudek, Fuzzy subquasigroups, Quasigroups Related Systems 5 (1998), 81-98: W. A. Dudek, Fuzzification on n-ary groupoids, Qusigroups Related Systems, 7 (2000), 45-66: W. A. Dudek, Idempotents in n-ary semigroups, Southeast Asian Bull. Math. 25 (2001), 97-104: W. A. Dudek, K. Głazek, B. Gleichgewicht, A note on the axioms of n-groups, in Colloquia Math. Soc. J. Bolyai 29 ”Universal Algebra”, Esztergom (Hungary) 1977, 195 ¡ 202: (North-Holland, Amsterdam 1982.) W. A. Dudek, Y. B. Jun, Intuitionistic fuzzy approach to BCC-algebras, Bul. Acad. Sci. Rep. Moldova ser. Mat. 3(37) (2001), 7-12: W. A. Dudek, J. Michalski, On retracts of polyadic groups, Demonstratio Math. 17 (1984), 281-301: J. W. Grzymała-Busse, Automorphisms of polyadic automata, J. Assoc. Computing Machinery 16 (1969), 208-219: R. Kerner, Ternary algebraic structures and their applications in physics, Preprint of Univ. P. & M. Curie, Paris 2000. K. H. Kim, W. A. Dudek, Y. B. Jun, On intuitionistic fuzzy subquasigroups of a quasigroups, Quasigroups Related Systems 7 (2000), 15-28: G. L. Mullen, V. Shcherbacov, Properties of codes with one check symbol from a quasigroup point of view, Bull. A. S. Rep. Moldova, ser. Math. 40 (2002), 71-86: H. O. Pflugfelder, Quasigroups and loops: introduction, Sigma Series in Pure Math., vol. 7, Heldermann Verlag, Berlin 1990. E. L. Post, Polyadic groups, Trans. Amer. Math. Soc. 48 (1940), 208-350: A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512-517: Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.