ON (L,M)-FUZZY TOPOGENOUS SPACES

Authors : Ahmed Abdel-kader Ramadan, Enas Hassan El-kordy

Pages : 1-28

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Publication Date : 2015-09-01

Article Type : Research

Abstract :In this paper, we introduce the concept of an (L, M )-fuzzy topogenous space, whereL, M are strictly two sided commutative quantales lattices. Basic properties of (L, M )-fuzzy topogenous spaces are studied, (L, M )-fuzzy topological spaces, (L, M )-fuzzy uniform spaces and (L, M )fuzzy proximity space are characterized in the framework of (L, M )-fuzzy topogenous spaces. Westudy some relationships between previous spaces and give their examples. The notion of theircontinuity property is investigated
Keywords : Complete residuated lattice, (L, M )-fuzzy topogenous order, (L, M )-fuzzy uniformspace, L-fuzzy topologies