ELECTRE I-based group decision methodology with risk preferences in an imprecise setting for flexible manufacturing systems

B. Vahdani | H. Gitinavard | Seyed Meysam Mousavi

---

URL :   http://research.shahed.ac.ir/WSR/WebPages/Report/PaperView.aspx?PaperID=85480
Date :  2019/05/25
Publish in :    Journal of Optimization in Industrial Engineering

Link :  http://www.qjie.ir/article_667917.html
Keywords :ELECTRE, methodology, preferences, manufacturing

Abstract :

---

In this paper, a new ELECTRE, known as the elimination and choice translating reality method, is proposed based on hesitant fuzzy sets (HFSs) for multi-criteria group decision-making (MCGDM) problems. The presented method can be widely implemented in the MCGDM problems when a set of alternatives should be evaluated under a set of assessment criteria based on the preferences and judgments of decision makers (DMs). However, in real-world applications, the DMs’ opinions are often hesitant for decision problems and thus considering the exact data is difficult. To address the issue, the DMs judgments can be expressed as linguistic variables that are converted into the HFSs, considered as inputs in the ELECTRE method. Meanwhile, an appropriate tool among the fuzzy sets theory and their extensions is the HFSs. Because the DMs can assign their judgments for an alternative under the evaluation criteria by some membership degrees under a set to decrease the errors. Furthermore, the proposed hesitant fuzzy ELECTRE (HF-ELECTRE) method is elaborated based on the risk preference of each DM in the procedure of evaluating each possible alternative in terms of the conflicted criteria and the relative importance of each criterion by assigning some degrees. Moreover, the weight of each DM is computed and implemented in the procedure of the proposed HF-ELECTRE method to reduce judgments’ errors. Then, a new discordance hesitant fuzzy index is developed by using the concept of the fuzzy distance measure. In addition, pair-wise comparisons are used for outranking relations, and a decision graph is depicted to specify which alternative is indifferent, incomparable or preferable regarding to hesitant fuzzy information. Finally, the validation and verification of the proposed HF-ELECTRE method is demonstrated based on an application example about the selection problem of flexible manufacturing systems from the recent literature. In addition, comparative analysis is indicated between the proposed HF-ELECTRE method and the recent fuzzy ELECTRE methods in the literature to show its merits.