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Prime $L$-fuzzy filters of a semilattice
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In this paper, we study the notion of prime $L$-fuzzy filter of a bounded distributive semilattice S with truth values in a frame $L$. A characterization theorem of prime (maximal) $L$-fuzzy filters of $S$ is established and, the set of all prime $L$-fuzzy filters of $S$ is topologized and the resulting space is discussed.
Abstract
In this paper, we study the notion of prime $L$-fuzzy filter of a bounded distributive semilattice S with truth values in a frame $L$. A characterization theorem of prime (maximal) $L$-fuzzy filters of $S$ is established and, the set of all prime $L$-fuzzy filters of $S$ is topologized and the resulting space is discussed.
참고문헌 (5)
- A. Rosenfeld, "Fuzzy groups", J. Maths. Anal. Appl, 35, pp.512~517 (1971)
- Ch. Santhi Sundar Raj, "Fuzzy Filters of Meet-Semilattices", Int.J.Math. And., 7(3), pp.67~76 (2019), International journal of mathematics and applications
- M. H. Stone, "Topological representation of distributive lattices and Brouwerian Logic", Casopis. Mat. Fyz, 67, pp.1~25 (1937)
- U. M. Swamy, "Fuzzy Prime Ideals of Rings", Journal of Mathematical analysis and applications, 134, pp.94~103 (1988)
- L. A. Zadeh, "Fuzzy set", Information and control, 8, pp.338~353 (1965)
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