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Advances in Fuzzy Sets and Systems

Advances in Fuzzy Sets and Systems
Volume 18, Issue 1, Pages 45 - 69 (September 2014)

LC-CLOSURE SPACE AND ITS APPLICATIONS

A. H. Zakari, M. A. Al-Homieyed and S. E. Abbas

Abstract:

The aim of this paper is to introduce the concept of the LC-closure space and to create an LC-closure space from a closure space and vice versa. We study the concepts of sum and product of LC-closure space and some applications on it. In addition, we give the separation axioms on LC-closure spaces and discuss the relationships among separation axioms of LC-closure spaces with their sum and product.