Ranking of Intuitionistic Fuzzy Number by Centroid Point
نویسندگان
چکیده
The notion of Intuitionistic Fuzzy Numbers (IFNs) has been improved in many decision making problems. Ranking of IFNs is one of the techniques that conceptualize IFNs to illustrate order or preference in decision making. Ranking of IFNs plays a very important role in multicriteria decision making, optimization and in many different fields but ranking of IFNs is not a very easy process. As far as our knowledge is concerned, the number of existing methods for ranking of IFNs in the literature is very few. In this paper a new method has been proposed for ranking of IFNs by determining centroid point of IFNs. Examples have been given to compare the proposed method with the existing ranking results. The results show that the new method can overcome the drawbacks of the existing methods.
منابع مشابه
Multiple attribute decision making with triangular intuitionistic fuzzy numbers based on zero-sum game approach
For many decision problems with uncertainty, triangular intuitionistic fuzzy number is a useful tool in expressing ill-known quantities. This paper develops a novel decision method based on zero-sum game for multiple attribute decision making problems where the attribute values take the form of triangular intuitionistic fuzzy numbers and the attribute weights are unknown. First, a new value ind...
متن کاملA novel parametric ranking method for intuitionistic fuzzy numbers
Since the inception of intuitionistic fuzzy sets in 1986, many authors have proposed different methods for ranking intuitionistic fuzzy numbers (IFNs). How ever, due to the complexity of the problem, a method which gives a satisfactory result to all situations is a challenging task. Most of them contained some shortcomings, such as requirement of complicated calculations, inconsistency with hum...
متن کاملA new method for ordering triangular fuzzy numbers
Ranking fuzzy numbers plays a very important role in linguistic decision making and other fuzzy application systems. In spite of many ranking methods, no one can rank fuzzy numbers with human intuition consistently in all cases. Shortcoming are found in some of the convenient methods for ranking triangular fuzzy numbers such as the coefficient of variation (CV index), distance between fuzzy set...
متن کاملA Compromise Ratio Ranking Method of Triangular Intuitionistic Fuzzy Numbers\ and Its Application to MADM Problems
Triangular intuitionistic fuzzy numbers (TIFNs) is a special case of intuitionistic fuzzy (IF) set and the ranking of TIFNs is an important problem. The aim of this paper is to develop a new methodology for ranking TIFNs by using multiattribute decision making methods (MADM). In this methodology, the value and ambiguity indices of TIFNs may be considered as the attributes and the TIFNs in compa...
متن کاملA New Algorithm for Solving Fuzzy Constrained Shortest Path Problem using Intuitionistic Fuzzy Numbers
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 ...
متن کامل