Journal of New Theory (Sep 2015)

ON (L,M)-FUZZY TOPOGENOUS SPACES

  • Ahmed Abdel-kader Ramadan,
  • Enas Hassan El-kordy

Journal volume & issue
no. 8
pp. 1 – 28

Abstract

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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

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