Recently two important methods [ \Area ranking of fuzzy numbers based on positive and negative ideal points", Computers and Mathematics with Applications, pp. 1769-1779 (2009)] have been proposed for ranking fuzzy numbers. But we have found that they both have a same basic disadvantage. In this paper, after a short review on diierent proposed fuzzy number ranking methods, we explain the drawbac...

The uncertainty of intuitionistic fuzzy numbers (IFNs) is further enhanced by the existence degree hesitation (DH). shortcomings existing researches are mainly reflected in following situations: when comparing IFNs, comparison rules IFNs difficult to apply any two or relevant methods do not fully consider expressed DH. Thus, rationality decision results needs be improved. On other hand, multi-a...

The TODIM is a valuable technique for solving classical MCDM problems in case of considering the decision maker’s psychological behavior. One main goal of this chapter is to introduce the measured functions-based hesitant fuzzy TODIM technique to deal with the behavioral MCDM problem under hesitant fuzzy environments. The main advantages of this technique are that (1) it can handle the MCDM pro...

Complex proportional assessment (COPRAS) methodology is one of the well-known multiple criteria group decision-making (MCGDM) frameworks that can focus on proportional and direct dependences of the significance and utility degree of candidates under the presence of mutually conflicting criteria in real-worldcases. This studyelaboratesa newintuitionistic fuzzy modified group complex proportional...

Assignment problem is a well-known topic and is used very often in solving problems of engineering and management science. In this problem denotes the cost for assigning the job to the person. This cost is usually deterministic in nature. In this paper has been considered to be triangular or trapezoidal fuzzy numbers denoted by ̃ which are more realistic and general in nature. A new ranking meth...

Supplier selection can be considered as a complicated multi criteria decision-making problem.In this paper the problem of supplier selection is studied in the presence of conflicting evaluations and insufficient information about the criteria and different attitudes of decision makers towards the risk. Most of fuzzy approaches used in multi-criteria group decision making (MCGDM) are non-intuiti...

In this paper I will introduce the trapezoidal intuitionistic fuzzy numbers (IF numbers) and will prove some operations for them. Also I am going to propose a new ordering method for IF numbers in which I will consider two characteristic values of membership and non-membership functions for an IF number. These values are defined by the integral of the inverse fuzzy membership and non-membership...

The aim of this paper is to develop a method for ranking trapezoidal intuitionistic fuzzy numbers (TrIFNs) in the process of decision making in the intuitionistic fuzzy environment. Firstly, the concept of TrIFNs is introduced. Arithmetic operations and cut sets over TrIFNs are investigated. Then, the values and ambiguities of the membership degree and the nonmembership degree for TrIFNs are de...