Hesitant triangular fuzzy information aggregation in multiple attribute decision making

Authors:
Guiwu Wei;Hongjun Wang;Xiaofei Zhao;Rui Lin
Affiliations:
School of Economics and Management, Chongqing University of Arts and Sciences, Yongchuan, China;School of Economics and Management, Chongqing University of Arts and Sciences, Yongchuan, China;School of Economics and Management, Chongqing University of Arts and Sciences, Yongchuan, China;School of Economics and Management, Chongqing University of Arts and Sciences, Yongchuan, China
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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Abstract

In this paper, we investigate the hesitant fuzzy multiple attribute decision making with incomplete weight information. An optimization model based on the maximizing deviation method, by which the attribute weight can be determined, is established. For the special situations where the information about attribute weights is completely unknown, we establish another optimization model. By solving this model, we get a simple and exact formula, which can be used to determine the attribute weights. We utilize the hesitant fuzzy weighted averaging HFWA operator to aggregate the hesitant fuzzy information corresponding to each alternative, and then rank the alternatives and select the most desirable ones according to the score function. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effective. In this paper, we investigate the multiple attribute decision making MADM problems in which attribute values take the form of hesitant triangular fuzzy information. Firstly, definition and some operational laws of hesitant triangular fuzzy elements and score function of hesitant triangular fuzzy elements are introduced. Then, we have developed some hesitant triangular fuzzy aggregation operators: the hesitant triangular fuzzy weighted averaging HTFWA operator, hesitant triangular fuzzy weighted geometric HTFWG operator, hesitant triangular fuzzy ordered weighted averaging HTFOWA operator, hesitant triangular fuzzy ordered weighted geometric HTFOWG operator, hesitant triangular fuzzy hybrid average HTFHA operator and hesitant triangular fuzzy hybrid geometric HTFHG operator. We have applied the hesitant triangular fuzzy weighted averaging HTFWA operator, hesitant triangular fuzzy weighted geometric HTFWG operators to multiple attribute decision making with hesitant triangular fuzzy information. Finally an illustrative example has been given to show the developed method.