Abstract
The sustainable third-party reverse logistics provider (3PRLP) selection, as the core of sustainable supply chain management, has become paramount in research nowadays. In the actual evaluation process, the decision makers may hesitate in a few linguistic terms and have different partiality towards each term, hence the possibility distribution based hesitant fuzzy linguistic term sets (PDHFLTSs), as expressed by a consecutive or non-consecutive linguistic term set, is suitable for such an evaluation. The purpose of this paper is to solve sustainable 3PRLP selection problems with linguistic information by developing an effective and robust method. We firstly redefine the covariance-based correlation coefficient that can simplify the computation to calculate the consensus degree, and then introduce the hesitant degree in context of possibility distribution information, in order to enrich measures of PDHFLTSs. On this basis, the weights of experts are computed for expression aggregation. Secondly, to overcome attributes’ weights staying constant, the combination of group utility function and variable weight approach is introduced to give the weights of attributes. Most importantly, a decision method, called MULTIMOORA, is optimized by improving the ranking position method, and then, through the combination with PDHFLTS, we proposed a possibility distribution based hesitant fuzzy linguistic MULTIMOORA method with great robustness. At last, the presented method is applied to the field of sustainable third-party reverse logistics provider selection in the e-commerce express industry and the effectiveness is verified by several comparative analyses.
Highlights
Sustainable third-party reverse logistics provider selection, as a typical multi-attribute group decision making (MAGDM) issue, is the procedure of choosing the best satisfaction provider and is appropriately accomplished by a group, which is composed of experts with different knowledge and interests background
This paper aims to accomplish the following creative contributions: (I) We presented the correlation coefficient formula of PDHFLTS by combining an improved rule that can reduce the number of calculations, and further defined consensus degree to fill gap (4). (II) Considering the consensus degree [27] can be capable of reflecting certainty and consistency from a group of experts, by contrary, hesitant degree [28] delivers the uncertainty and hesitant information of decision makers (DMs)
Operation 1 means that normalized utility value of the Possibility Distribution Hesitant Fuzzy Linguistic Ratio System (PDHFLRS) increased by 50%; Operation 2 means that the normalized utility value of the Possibility Distribution Hesitant Fuzzy Linguistic Reference Point (PDHFLRP) increased by 50%; Operation 3 means that normalized utility value of the PDHFLFMF increased by 50%; Operation 4 means that normalized utility value of the PDHFLRS
Summary
Sustainable third-party reverse logistics provider selection, as a typical multi-attribute group decision making (MAGDM) issue, is the procedure of choosing the best satisfaction provider and is appropriately accomplished by a group, which is composed of experts with different knowledge and interests background. Experts make evaluation recommendations of every alternatives under different attributes (or criteria);. How to express opinions of experts accurately has become a paramount in past decades, since the first step of this problem is the processing of expert’s evaluative expressions. Some researchers have found that decision makers (DMs) prefer describing the performance of alternatives by linguistic variables. Notwithstanding, DMs still inadequately deliver their wanted description by those tools, owing to the lack of flexibility in dealing with practical problems. To surmount this problem, Rodríguez et al [2] combining the Hesitant Fuzzy Sets (HFS) with Linguistic Term
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