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Abstract
Multiple attribute group decision making (MAGDM) issues play important roles in our daily life. In order to solve the problem that decision makers (DMs) may feel hesitant to select the appropriate evaluation values from several possible values in the process of providing evaluations, fuzzy theory and its extensions are widely applied in MAGDM problems. In this study, we first proposed hesitant picture fuzzy sets (HPFSs), which is a combination of the hesitant fuzzy set and picture fuzzy set. Subsequently, we introduced a novel Schweizer–Sklar t-norm and t-conorm operation rules of HPFSs and proposed a family of hesitant picture fuzzy Schweizer–Sklar Maclaurin symmetric mean operators. To show the application procedure of the proposed method to practical MAGDM issues, a numerical example about enterprise informatization level evaluation was employed to elaborate the calculation process with the proposed method. Finally, through the parameter analysis, validity analysis, and comparative analysis with some existing methods, we found that our method is more superior in providing DMs a greater decision-making freedom and relaxing the constraints on expressing personal preferences. This study provides a general framework of the proposed method to MAGDM problems under hesitant picture fuzzy environment, which enriches the fuzzy theory and its applications.
Highlights
The contributions of this paper are: (1) we introduced a family of information aggregation operators by combining the hesitant picture fuzzy sets (HPFSs) and Maclaurin symmetric mean (MSM) operators based on SSTT operational rules; (2) we provided a general framework of the proposed method to Multiple attribute group decision making (MAGDM)
We mainly focused on three parts: information expression method, information aggregation method, and the operational rules in the process of information aggregation
We proposed the concept of HPFS, which is an effective and powerful information expression method in coping with uncertainty
Summary
With the increasing complexity of the social economy, some scholars tend to apply fuzzy set theories into complex economic problems, and multiple-attribute decision making (MAGDM) is one of the hottest application areas. The investor wants to select the optimal company to avoid investment risk and obtain the maximum return, and the enterprise needs to evaluate its informatization level before enhancing it. All these activities need to be evaluated with respect to several attributes, which are known as MAGDM problems and are very common in our daily life. With the increase in the complexity of the actual world, fuzzy set (FS) theory, proposed by Zadeh in 1965 [7], which was designed to utilize the membership degree (MD)
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