Fuzzy Quadrigeminal Sets: A New approach And Application

Abstract

This paper introduces a new concept ” Fuzzy Quadrigeminal Sets”, a new approach onassigning degree values to elements of a set. Set operations are defined over Fuzzy QuadrigeminalSets which are very useful while attempting to solve real life problems. Fuzzy Quadrigeminal sets help to reducerisk while attempting a solution on a uncertain situation. The concept of viabilityof a Fuzzy Quadrigeminal set is introduced for the purpose of finding which Fuzzy Quadrigeminalset has high percentage of optimal solution and which has low percentage of optimalsolution. The authors also proved that Fuzzy Quadrigeminal sets meet the condition of a topology and hence developed Fuzzy Quadrigeminal Topological Spaces. A real life application is explained.