An Introduction to Fuzzy Edge Coloring

In this paper, a new concept of fuzzy edge coloring is introduced. The fuzzy edge coloring is an assignment of colors to edges of a fuzzy graph G. It is proper if no two strong adjacent edges of G will receive the same color. Fuzzy edge chromatic number of G is least positive integer for which G has a proper fuzzy edge coloring. In this paper, the fuzzy edge chromatic number of different classes of fuzzy graphs and the fuzzy edge chromatic number of fuzzy line graphs are found. Isochromatic fuzzy graph is also defined

Bounds On Fuzzy Dominator Chromatic Number of Fuzzy Soft Bipartite Graphs

An FSG GS(T,V) fuzzy’s soft dominator colouring (FSDC) is a suitable Fuzzy Soft Colouring (FSC) where every node of a colour groupis dominated by a vertex of GS(T,V). In the current work, we characterize the sharp bounds for the Fuzzy Dominator Chromatic Number(FDCN) of fuzzy soft bipartite graphs and we present limits on theFDCN of fuzzy soft bipartite graph in terms of the γe(GS(T; V )).Furthermore, we classify fuzzy soft bipartite graphs into three classesbased on FDC

Some results on range labeling

In this article, We have extended to Range labeling for some trees as for Star trees, Spider trees and Banana tres

Some Edge Domination Parameters in Bipolar Hesitancy fuzzy graph

In this article, we establish edge domination in Bipolar Hesitancy Fuzzy Graph(BHFG). Various domination parameters such as inverse edge domination and total edge domination in BHFG are determined. Some theorems related to edge domination and examples are also discusse

Common Fixed Point Theorems For (ϕ,F)- Integral Type Contractive Mapping On C^*-algebra Valued b-metrix Space

The object of this paper, we establish the concept of integral type of common fixed point theorem for new type of generalized -valued contractive mapping. The main theorem is an existence and uniqueness of common fixed-point theorems for self-mappings with -contractive conditions on complete -algebra valued -metric space. Moreover, some illustrated examples are also provided

Fixed point theorems in uniformly convex Banach spaces

In this article, we establish a concept of fixed point result in Uniformly convex Banach space. Our main finding uses the Ishikawa iteration technique in uniformly convex Banach space to demonstrate strong convergence. Additionally, we use our primary result to demonstrate some corollaries

Properties on Irregular Intuitionistic Fuzzy Graphs (IIFG)

Abstract In this paper, We define some types of Irregular Intuitionistic Fuzzy Graphs (IIFG) and some properties of Irregular intuitionistic fuzzy graphs are studied. Some results on Highly Irregular intuitionistic fuzzy graphs and its complement are established. Also we discussed the isomorphic properties of µ-busy , γ-busy nodes and µ-free, γ-free nodes in Highly Irregular Intuitionistc Fuzzy Graphs. Mathematics Subject Classification: 03E72, 03F55, 05C7

Anti Q-M-Fuzzy Normal Subgroups

Numerous subject fields have made use of the fuzzy idea. Both the M-fuzzy level subsets and the anti Q-M-fuzzy normal subgroups are defined. You will also discover some group Q-M-homomorphism and group anti Q-M-homomorphism results in this study

Algorithmic Approach for Solving Intuitionistic Fuzzy Transportation Problem

In this paper, we investigate transportation problem in which supplies and demands are intuitionistic fuzzy numbers. Intuitionistic fuzzy zero point method is proposed to find the optimal solution in terms of triangular intuitionistic fuzzy numbers. A new relevant numerical example is also included