Fuzzy set theory applied to incline algebras

• Autorzy: Dudek W. A. , Hong S. M. , Jun Y. B.
• Języki publikacji: EN

Abstrakty

EN

The fuzzification of fc-ideals (also r-ideals) of inclines is considered, and then we prove the notion of fuzzy ideal and fuzzy k-ideal coincide, and we investigate some properties on fuzzy r-ideals. Using level subsets of an incline with respect to a fuzzy subset A of inclines, we construct the fuzzy r-ideal containing A.

Słowa kluczowe

EN

incline; k-ideal; r-ideal; level r-ideal

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 1
• Strony: 35--44
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Dudek W. A.

• Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Hong S. M.

• Department Of Mathematics (Education), Gyeongsang National University, Chinju 660-701, Korea

autor

Jun Y. B.

• Department Of Mathematics (Education), Gyeongsang National University, Chinju 660-701, Korea

Bibliografia

• [1] S.S. Ahn, Y.B. Jun and H.S. Kim, Ideals and quotients of incline algebras, Comm. Korean Math. Soc. 16 (2001), 573-583.
• [2] Z.Q. Cao, K.H. Kim and F.W. Roush, Incline Algebra and Applications, John Wiley & Sons, New York, 1984.
• [3] Y.B. Jun , S.S. Ahn and H.S. Kim, Fuzzy subinclines (ideals) of incline algebras, Fuzzy Sets and Systems 123 (2001), 217-225.
• [4] K.H. Kim and F.W. Roush, Inclines of algebraic structures, Fuzzy Sets and Systems, 72 (1995) 189-196.
• [5] K.H. Kim, F.W. Roush and G. Markowsky, Representation of inclines, Algebra Colloq. 54 (1997), 461-470.