$e$-Fuzzy filters of MS-algebras
2
조회
0
다운로드
3
인용
0
참고문헌
키워드
초록
In this article, we present the notion of $ e$-fuzzy filters in an MS-Algebra and characterize in terms of equivalent conditions. The concept of $ D $-fuzzy filters is studied and the set of equivalent conditions under which every $ e $-fuzzy filter is an $ D $-fuzzy filter are observed. Moreover we study some properties of the space of all prime $ e $-fuzzy filters of an MS-algebra.
Abstract
In this article, we present the notion of $ e$-fuzzy filters in an MS-Algebra and characterize in terms of equivalent conditions. The concept of $ D $-fuzzy filters is studied and the set of equivalent conditions under which every $ e $-fuzzy filter is an $ D $-fuzzy filter are observed. Moreover we study some properties of the space of all prime $ e $-fuzzy filters of an MS-algebra.
참고문헌 (11)
- T. S. Blyth, "Ockham Algebras" (1994), Oxford University Press
- T. S. Blyth, "On a common abstraction of de Morgan and Stone algebras", Proc Roy Soc Edinburgh, Sect A, 94A, pp.301~308 (1983)
- T. S. Blyth, "Subvarieties of the class of MS-algebras", Proc Roy Soc Edinburgh, Sect A, 95A, pp.157~169 (1983)
- H. Hadji-Abadi, "Some results on fuzzy prime spectrum of a ring", Fuzzy sets and systems, 77, pp.235~240 (1996)
- R. Kumar, "Fuzzy prime spectrum of a ring", Fuzzy sets and systems, 46, pp.147~154 (1992)
- R. Kumar, "Spectrum prime fuzzy ideals", Fuzzy sets and systems, 62, pp.101~109 (1994)
- A. Rosenfeld, "Fuzzy groups", Math. Anal. Appl, 35, pp.512~517 (1971)
- M. Sambasiva Roa, "e-lters of MS-algebras", Acta Mathematica Scientia, 33B(3), pp.738~746 (2014)
- U. M. Swamy, "Fuzzy ideals and congruences of lattices", Fuzzy sets and systems, 95, pp.249~253 (1998)
- Bo. Yuan, "Fuzzy ideals on a distributive lattice", Fuzzy Sets and Systems, 35, pp.231~240 (1990)
- L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)