Title of paper:
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Intuitionistic fuzzy n-ary systems
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Author(s):
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Wiesław Dudek
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Institute of Mathematics, Technical University, Wyb. Wyspiańskiego 27, 50-370 Wrocław, Poland
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dudek@im.pwr.wroc.pl
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Presented at:
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3rd Conference of the European Society for Fuzzy Logic and Technology, Zittau, Germany, September 10-12, 2003
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Published in:
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Conference proceedings, pages 198-205
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Download:
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PDF (143 Kb, File info)
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Abstract:
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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.
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Keywords:
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n-ary system, n-ary quasigroup, intuiutionistic fuzzy n-ary quasigroup
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References:
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- 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:
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- 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:
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