ON (L,M)-FUZZY TOPOGENOUS SPACES
Authors : Ahmed Abdelkader RAMADAN, Enas Hassan ELKORDY
Pages : 1-28
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Publication Date : 2015-09-01
Article Type : Research Paper
Abstract :In this paper, we introduce the concept of an insert ignore into journalissuearticles values(L, M );-fuzzy topogenous space, whereL, M are strictly two sided commutative quantales lattices. Basic properties of insert ignore into journalissuearticles values(L, M );-fuzzy topogenous spaces are studied, insert ignore into journalissuearticles values(L, M );-fuzzy topological spaces, insert ignore into journalissuearticles values(L, M );-fuzzy uniform spaces and insert ignore into journalissuearticles values(L, M );fuzzy proximity space are characterized in the framework of insert ignore into journalissuearticles values(L, M );-fuzzy topogenous spaces. Westudy some relationships between previous spaces and give their examples. The notion of theircontinuity property is investigatedKeywords : Complete residuated lattice, L, M, fuzzy topogenous order, L, M, fuzzy uniformspace, L fuzzy topologies