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Permutable and Mutually Permutable Fuzzy Bigroup
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In this paper, we introduce the concept of restricted fuzzy bigroup which is an improvement on the existing concept of fuzzy bigroup. We also extend the idea of permutability and mutually permutability to the rede¯ned fuzzy bigroup. We de¯ne permutable and mutually permutable fuzzy bigroup of a bigroup and study some of their properties.
Abstract
In this paper, we introduce the concept of restricted fuzzy bigroup which is an improvement on the existing concept of fuzzy bigroup. We also extend the idea of permutability and mutually permutability to the rede¯ned fuzzy bigroup. We de¯ne permutable and mutually permutable fuzzy bigroup of a bigroup and study some of their properties.
참고문헌 (9)
- Hassan Naraghi, "Some properties of superfuzzy subset of a fuzzy subset", Proceedings of World Academy of Science, Engineering and Technology, 통권 : 32, pp.562~564 (2008)
- Maggu,P.L., "On introduction of bigroup concept with its application in industry", Pure Appl. Math Sci., 39, pp.171~173 (1994)
- Maggu,P.L., "On sub-bigroup and its applications", Pure Appl. Math Sci, 43, pp.85~88 (1996)
- Meiyappan D., "Studies on fuzzy subgroups", 박사, pp.1998
- A. Rosenfeld, "Fuzzy groups", J. Math. Anal.Appl, 35, pp.512~517 (1971)
- W.B.Vasantha Kandasamy, "Bialgebraic structures and Smarandache bialgebraic structures" (2003), American Research Press
- W.B. Vasantha Kandasamy, "Bigroup and Fuzzy Bigroup", 63rd Annual Conference (1997), Indian Mathematical Society
- W.B. Vasantha Kandasamy, "Smarandache bialgebraic structures" (2003), American Re-search Press
- L.A Zadeh, "Fuzzy sets", Inform. and control, 8, pp.338~353 (1965)
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