Augmentation on Alternate Quadra Submerging Polar Fuzzy Graph and its Application

Abstract

In this research artifact, we introduce the new fuzzy graph module Alternate Quadra Sub - merging Polar (AQSP) Fuzzy Graph which could be used to find the solution of uncertain subjects and occurrences. We present the sufficient conditions for each of the Augmentation to be precise and reliable. And we show that if any of these Augmentation is complete, then at least one of the factors is strong. We introduce some combinatoric operations of Augmentation of AQSP fuzzy graphs. The expansion of the AQSP Fuzzy graph with Direct, Strong, Tensor, Normal, Modular and Homomorphic Augmentations analysis is presented with the membership values and submerging level of confidence such as, [−0.5, 0.5] ⊂ [−1, 1]. The AQSP fuzzy graph Application paves the way to find the destination of persons Max- Min Self-esteem in the status of conflict feelings. The AQSP fuzzy graph module can be applied in the field of Human Science, Mathematical Psychology, Environmental Science and Medical Science.