The hesitant fuzzy soft set (HFSS), as a combination of hesitant fuzzy and soft sets, is regarded as a useful tool for dealing with the uncertainty and ambiguity of real-world problems. In HFSSs, each element is defined in terms of several parameters with arbitrary membership degrees. In addition, distance and similarity measures are considered as the important tools in different areas such as ...

In this study, a new hierarchical decision-making and decision-fusion mechanism is introduced for solving decision making problems in a consistent manner. This mechanism is constructed by using a genetic algorithm. The proposed mechanism employs fuzzy logic and a performance index determined based on the performance of decision-making agents at successive hierarchical levels. The mechanism is s...

Gray target decision making is one method of gray systematic theory for solving multiple attribute decision making problem. The weight definite method of the index in the present researches on gray target decision making is monotonous, it does not accord with the actual conditions; From the point of view of mathematical statistics in addition, the true weight coefficient of every index is a ran...

The order relation of fuzzy number is important in decision making and optimization modeling, and ranking fuzzy numbers is difficult in nature. Ranking trapezoidal intuitionistic fuzzy numbers (TrIFNs) is more difficult due to the fact that the TrIFNs are a generalization of the fuzzy numbers. The aim of this paper is to develop a new methodology for ranking TrIFNs. We define the value-index an...

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...

Productivity growth and efficiency improvements are the major sources of economic development. Pure efficiency, scale efficiency, and technology are basic factors, and rules and regulations and balance are recently known factors affecting the Malmquist productivity index. The index is the most common productivity growth index that uses data envelopment analysis models over multiple time periods...

bankruptcy in the same amount of time and history is very rampant and therefore the vision of the future can be prevented. using data envelopment analysis (dea) and malmquist index can precise evaluating of the performances of many different kinds of decision making units (dmu) such as hospitals, universities, business firms, etc. in this paper, we will modify directional distance formulation o...