CLOSED SETS AND CONTINUOUS FUNCTIONS VIA FUZZY QUADRIGEMINAL TOPOLOGICAL SPACES

Abstract

            Fuzzy Quadrigeminal sets is a new approach introduced for the purpose of measuring degree of belongingness of elements to a subset. Fuzzy Quadrigeminal set helps us to draw some conclusion whether a positive result be possible or not in an uncertain situation. The aim of this paper is to elicit some basic properties concerned to closed sets and continuous functions via Fuzzy Quadrigeminal Topological spaces which was proposed by Razzag et al in “Picture fuzzy topological spaces and associated continuous functions” [13]. Also, it tries to exhibit some properties of generalized closed sets. Existence of open cover for a Fuzzy Quadrigeminal Topological Space is proved, and hence, the compactness of spaces is derived. The concept of relations between two Fuzzy Quadrigeminal sets is developed. Thus, this article explores some topological concepts via Fuzzy Quadrigeminal Topological spaces.