Qualitative decision making with correlation coefficients of 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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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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New Operations on Generalized Hesitant Fuzzy Linguistic Term Sets for Linguistic Decision Making

International Journal of Fuzzy Systems ◽

10.1007/s40815-018-0540-1 ◽

2018 ◽

Vol 21 (1) ◽

pp. 243-262 ◽

Cited By ~ 5

Author(s):

Mingming Kong ◽

Zheng Pei ◽

Fangling Ren ◽

Fei Hao

Keyword(s):

Decision Making ◽

Linguistic Term ◽

Linguistic Decision Making ◽

Fuzzy Linguistic

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A Novel Multi-Attribute Decision Making Method Based on The Double Hierarchy Hesitant Fuzzy Linguistic Generalized Power Aggregation Operator

Information ◽

10.3390/info10110339 ◽

2019 ◽

Vol 10 (11) ◽

pp. 339 ◽

Cited By ~ 4

Author(s):

Liu ◽

Zhao ◽

Li ◽

Wang ◽

Wang

Keyword(s):

Decision Making ◽

Aggregation Operators ◽

Linguistic Context ◽

Practical Application ◽

Linguistic Expression ◽

Novel Approach ◽

Linguistic Term ◽

Multi Attribute Decision Making ◽

Complex Decision ◽

Fuzzy Linguistic

. A double hierarchy hesitant fuzzy linguistic term set (DHHFLT) is deemed as an effective and powerful linguistic expression which models complex linguistic decision information more accurately by using two different hierarchy linguistic term sets. The purpose of this paper is to propose a multi-attribute decision making method to tackle complex decision issues in which attribute values are represented as double hierarchy hesitant fuzzy linguistic numbers, and there are some extreme or unreasonable data in the attribute values. To do this, firstly, four double hierarchy hesitant fuzzy linguistic generalized power aggregation operators are introduced, including the double hierarchy hesitant fuzzy linguistic generalized power average (DHHFLGPA) operator, the double hierarchy hesitant fuzzy linguistic generalized power geometric (DHHFLGPG) operator, and their weighted forms. Thereafter, several favorable properties, as well as representative cases of the proposed operators, are investigated in detail. Moreover, by virtue of the proposed operators, a novel approach is developed for coping with multi-attribute decision making cases in the double hierarchy hesitant fuzzy linguistic context. Finally, an illustrated example is given to demonstrate the practical application of the presented approach, an availability verification is given to show its validity, and a comparative analysis is also conducted to highlight the advantages of the proposed approach.

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