Multi-attribute group decision-making using double hierarchy hesitant fuzzy linguistic preference information
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ORIGINAL ARTICLE
Multi-attribute group decision-making using double hierarchy hesitant fuzzy linguistic preference information R. Krishankumar1 • K. S. Ravichandran1 • V. Shyam1 • S. V. Sneha1 • Samarjit Kar2 • Harish Garg3 Received: 18 January 2019 / Accepted: 19 February 2020 Ó Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract Double hierarchy hesitant fuzzy linguistic term set (DHHFLTS) is one of the successful extensions of the hesitant fuzzy linguistic term set used for describing the uncertain information in a more prominent manner for solving the group decision-making problems. In DHHFLTS, the membership functions are represented in terms of linguistic membership degrees which are a flexible structure for preference elicitation and enrich the ability for rational decision-making with complex linguistic expressions. Driven by the flexibility of DHHFLTS, in this paper, a new decision framework is developed for solving decision-making problems, which provides scientific and rational decisions based on the preference information. For it, initially, a new aggregation operator is proposed for aggregating decision-makers’ preferences. Later, the importance of the attribute weights in the problems is determined by formulating a mathematical model and the COPRAS method is extended to the DHHFLTS context for prioritizing alternatives. The applicability of the presented approach is demonstrated through a numeric example related to green supplier selection. A comparative analysis with existing studies is also administered to test the effectiveness and verify the method. Keywords COPRAS method Double hierarchy Group decision-making Maclaurin symmetric mean Programming model
1 Introduction & Samarjit Kar [email protected] R. Krishankumar [email protected] K. S. Ravichandran [email protected] V. Shyam [email protected] S. V. Sneha [email protected] Harish Garg [email protected] 1
School of Computing, SASTRA University, Thanjavur, Tamil Nadu 613401, India
2
Department of Mathematics, National Institute of Technology, Durgapur, West Bengal, India
3
School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University), Patiala, Punjab 147004, India
Linguistic decision-making [1] is a powerful concept that attracts many scholars due to the ease and flexibility it offers in preference elicitation process. Herrera et al. [2] framed the idea of a linguistic term set (LTS) and applied the same for multi-attribute group decision-making (MAGDM). MAGDM is the process of making a rational decision based on the preferences of each expert on a particular alternative over a set of attributes [3, 4]. Recently, Zare et al. [5] have used the LTS as a reference style for selection of computerized maintenance management system. Rodriguez et al. [6] pointed out the limitation of LTS and proposed hesitant fuzzy linguistic term set (HFLTS), which combines the power of both LTS and hesitant fuzzy set (HFS) [7] t
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