Trapezoidal intuitionistic fuzzy numbers (TrIFNs) express abundant and flexible information in a suitable manner and  are very useful to depict the decision information in the procedure of decision making. In this paper, some new aggregation operators, such as, trapezoidal intuitionistic fuzzy weighted power harmonic mean (TrIFWPHM) operator, trapezoidal intuitionistic fuzzy ordered weighted po...

In this paper, we endow set S with the structure of an ordered semigroup and define “intuitionistic fuzzy” analogous for several notions that have been proved to be useful in the theory of ordered semigroups and give some equivalent conditions of these definitions. Then we characterize the completely regular and the strongly regular ordered semigroups by means of intuitionistic fuzzy bi-ideals.

In this study, MATLAB program for computing power of an IF matrix, strength of connectedness and index matrix of an IFG and its line IFG have been developed. This has been formulated using the theoretical aspects which are proved in [4]. These programs have been verified with suitable illustrations. The proposed MATLAB program is simple, efficient and takes less computational time in image segm...

In this paper we introduce the concept of edge domination and total edge domination in intuitionistic fuzzy graphs. We determine the edge domination number and total edge domination number for several classes of intuitionistic fuzzy graphs and obtain bounds for them. We also obtain Nordhaus gaddum type results for the parameters.

Abstract Picture fuzzy graph, belonging to graphs family, has good capabilities at times when we are faced with problems that cannot be expressed by and intuitionistic graphs. When an element membership is not clear, neutrality a option can well-supported picture graph. The previous definitions limitations in graph energy have led us offer new In this article, expanded the concept on sought use...

in this paper, we introduce a new class of implicit functions and also common property (e.a) in modified intuitionistic fuzzy metric spaces and utilize the same to prove some common fixed point theorems in modified intuitionistic fuzzy metric spaces besides discussing related results and illustrative examples. we are not aware of any paper dealing with such implicit functions in modified intuit...

Consistency is an important issue that causes wide public concern of decision makers in the decision-making process. The lack consistency preference relations results a vague solution. main goal this paper to achieve consistent intuitionistic multiplicative relation using graphical approach. We have proposed two different approaches for (IMPR). In first approach, we propose algorithm IMPR by cy...

Constrained shortest path problem (CSPP) is an NPComplete problem where the goal is to determine the cheapest path bounded by a given delay constraint. This problem finds application in several fields like television and transportation networks, ATM circuit routing, multimedia applications etc. In these kinds of applications it is important to provide quality of service (QoS). Therefore, it is ...

Firstly, two kinds of natural distances between intuitionistic fuzzy sets are generated by the classical natural distance between fuzzy sets under a unified framework of residual intuitionistic implication operators. Secondly, the continuity and approximation property of a method for solving intuitionistic fuzzy reasoning are defined. It is proved that the triple implication method for intuitio...