A BI-OBJECTIVE SCORE-VARIANCE BASED LINEAR ASSIGNMENT METHOD FOR GROUP DECISION MAKING WITH HESITANT FUZZY LINGUISTIC TERM SETS

Decision makers usually prefer to express their preferences by linguistic variables. Classic fuzzy sets allowed expressing these preferences using a single linguistic value. Considering inevitable hesitancy of decision makers, hesitant fuzzy linguistic term sets allowed them to express individual evaluation using several linguistic values. Therefore, these sets improve the ability of humans to determine believes using their own language. Considering this feature, in this paper a method upon linear assignment method is proposed to solve group decision making problems using this kind of information, when criteria weights are known or unknown. The performance of the proposed method is illustrated in a numerical example and the results are compared with other methods to delineate the models efficiency. Following a logical and well-known mathematical logic along with simplicity of execution are the main advantages of the proposed method.

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Distance-Based Multi-Criteria Group Decision-Making Approaches with Multi-Hesitant Fuzzy Linguistic Information

International Journal of Information Technology & Decision Making ◽

10.1142/s0219622017500213 ◽

2017 ◽

Vol 16 (04) ◽

pp. 1069-1099 ◽

Cited By ~ 16

Author(s):

Jing Wang ◽

Jian-Qiang Wang ◽

Hong-Yu Zhang ◽

Xiao-Hong Chen

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Decision Makers ◽

Linguistic Distance ◽

Linguistic Information ◽

Set Operations ◽

Linguistic Term ◽

Linguistic Scale Function ◽

Fuzzy Linguistic

In this paper, the distance-based multi-criteria group decision-making (MCGDM) approaches using multi-hesitant fuzzy linguistic term sets (MHFLTSs) are proposed. MHFLTSs can contain nonconsecutive and repetitive linguistic terms, so as to deal with repeated linguistic values in group decision-making. A multi-hesitant fuzzy linguistic term element (MHFLTE) can be produced by collecting the evaluation values of several decision-makers or given by one person who has uncertainty in evaluation. The corresponding set operations and comparison rules are defined and the generalized hesitant fuzzy linguistic distance for MHFLTEs is given based on the linguistic scale function. Then this distance is embedded into the TOPSIS, VIKOR and TODIM approaches for the purpose of solving multi-criteria decision-making (MCDM) problems in the context of multi-hesitant fuzzy linguistic information. With increasing concerns about deterioration in environment, organizations are obliged to carry out more environmental sustainable activities than before, such as progressive practices in green supply chain management (GSCM). Therefore, with respect to the application of MHFLTSs in GSCM, two illustrations for evaluating the related alternatives are finally provided, together with the sensitivity and comparison analysis, to show the validity and effectiveness of our proposal.

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A Framework for Multi-Attribute Group Decision-Making Using Double Hierarchy Hesitant Fuzzy Linguistic Term Set

International Journal of Fuzzy Systems ◽

10.1007/s40815-019-00618-w ◽

2019 ◽

Vol 21 (4) ◽

pp. 1130-1143 ◽

Cited By ~ 19

Author(s):

R. Krishankumar ◽

L. S. Subrajaa ◽

K. S. Ravichandran ◽

Samarjit Kar ◽

Arsham Borumand Saeid

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Linguistic Term ◽

Fuzzy Linguistic

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A Novel Linguistic Group Decision-Making Model Based on Extended Hesitant Fuzzy Linguistic Term Sets

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems ◽

10.1142/s0218488515500166 ◽

2015 ◽

Vol 23 (03) ◽

pp. 379-398 ◽

Cited By ~ 24

Author(s):

Cuiping Wei ◽

Na Zhao ◽

Xijin Tang

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Distance Measures ◽

Linguistic Terms ◽

Linguistic Information ◽

Linguistic Group ◽

Linguistic Term ◽

Decision Making Model ◽

Fuzzy Linguistic

Hesitant fuzzy linguistic term set (HFLTS) is a set with ordered consecutive linguistic terms, and is very useful in addressing the situations where people are hesitant in providing their linguistic assessments. Wang [H. Wang, Extended hesitant fuzzy linguistic term sets and their aggregation in group decision making, International Journal of Computational Intelligence Systems 8(1) (2015) 14–33.] removed the consecutive condition to introduce the notion of extended HFLTS (EHFLTS). The generalized form has wider applications in linguistic group decision-making. By introducing distance measures for EHFLTSs, in this paper we develop a novel multi-criteria group decision making model to deal with hesitant fuzzy linguistic information. The model collects group linguistic information by using EHFLTSs and avoids the possible loss of information. Moreover, it can assess the importance weights of criteria according to their subjective and objective information and rank alternatives based on the rationale of TOPSIS. In order to illustrate the applicability of the proposed algorithm, two examples are given and comparisons are made with the other existing methods.

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A new group decision making method based on likelihood-based comparison relations of hesitant fuzzy linguistic term sets

2014 IEEE International Conference on Systems, Man, and Cybernetics (SMC) ◽

10.1109/smc.2014.6974007 ◽

2014 ◽

Cited By ~ 1

Author(s):

Li-Wei Lee ◽

Shyi-Ming Chen

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Linguistic Term ◽

Fuzzy Linguistic

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A Novel Extension of the Technique for Order Preference by Similarity to Ideal Solution Method with Objective Criteria Weights for Group Decision Making with Interval Numbers

Entropy ◽

10.3390/e23111460 ◽

2021 ◽

Vol 23 (11) ◽

pp. 1460

Author(s):

Dariusz Kacprzak

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Ease Of Use ◽

Decision Makers ◽

Ideal Solution ◽

Interval Numbers ◽

Group Matrix ◽

Order Preference ◽

Criteria Weights

This paper presents an extension of the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method with objective criteria weights for Group Decision Making (GDM) with Interval Numbers (INs). The proposed method is an alternative to popular and often used methods that aggregate the decision matrices provided by the decision makers (DMs) into a single group matrix, which is the basis for determining objective criteria weights and ranking the alternatives. It does not use an aggregation operator, but a transformation of the decision matrices into criteria matrices, in the case of determining objective criteria weights, and into alternative matrices, in the case of the ranking of alternatives. This ensures that all the decision makers’ evaluations are taken into account instead of their certain average. The numerical example shows the ease of use of the proposed method, which can be implemented into common data analysis software such as Excel.

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