Fuzzy open Sets In fuzzy Tri Topological Space

Abstract

The main aim of this paper is to studyfuzzy open sets and fuzzy trib-open sets in fuzzy tri topological spaces along with their several propertiesand characterization .We studyfuzzy tri continuous, fuzzy tri separation, fuzzy trib-continuous, fuzzy tri-b separation and obtain few of their basic properties. Introduction:- In 1996, D. Andrijvic [1] introduced b-open sets. In 1961 J .C. Kelly [6] introduced the concept of bitopological space. Al-Hawary& A. Al-omari [3] defined the b-open set in bitopological space .Abo Khadra and Nasef [2] discussed b-open set in bitopological spaces. Martin M. Kovar[8] studied tri topological space. S. Palaniammal [9] studied tri topological space.123 open set in tri topological spaces was studied byN.F. Hameed & Mohammed Yahya Abid[7].P. Priyadharsini and A. Parvathi [10] introduced tri-b open sets in tri topological spaces. We [11] studied properties of tri-b open sets in tri topological spaces. fuzzy topological spaces introduced by Change C.L. [4]. Kandil A. [5] introduced fuzzy bitopological spaces in 1991. Palaniammal S.[9] introduced fuzzy tri topological space. The present paper introducefuzzy tri open sets and fuzzy tri b-open sets in fuzzy tri topological space and studied their fundamental properties in fuzzy tri topological space.