Multi-attribute Decision Making Based on the Choquet Integral Operator with Hesitant Fuzzy Linguistic Information

2020 ◽  
pp. 107-118
Author(s):  
Xiuqin Xu ◽  
Jialiang Xie ◽  
Shuili Chen
Keyword(s):  
Decision Making ◽  
Integral Operator ◽  
Choquet Integral ◽  
Linguistic Information ◽  
Multi Attribute Decision Making ◽  
Choquet Integral Operator ◽  
Fuzzy Linguistic

scholarly journals A Novel Decision-Making Model with Pythagorean Fuzzy Linguistic Information Measures and Its Application to a Sustainable Blockchain Product Assessment Problem

2019 ◽  
Vol 11 (20) ◽  
pp. 5630 ◽  
Author(s):  
Feifei Jin ◽  
Lidan Pei ◽  
Huayou Chen ◽  
Reza Langari ◽  
Jinpei Liu
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Membership Degree ◽  
Linguistic Information ◽  
Information Measures ◽  
New Information ◽  
Multi Attribute Decision Making ◽  
Product Assessment ◽  
Decision Making Model ◽  
Fuzzy Linguistic

This study presents a novel multi-attribute decision-making (MADM) model on the basis of Pythagorean fuzzy linguistic information measures. To do so, we first present a new concept of Pythagorean fuzzy linguistic sets to describe fuzziness and inconsistent information, in which the Pythagorean fuzzy linguistic values (PFLVs) are represented by the linguistic membership degree and linguistic non-membership degree. Then, we introduce two axiomatic definitions of information measures for PFLVs, including Pythagorean fuzzy linguistic entropy and the Pythagorean fuzzy linguistic similarity measure, to measure the uncertainty degree of PFLVs and the similarity degree between among PFLVs. In addition, based on the logarithmic function, we construct two new information measure formulas and verify that they satisfy the axiomatic conditions of the Pythagorean fuzzy linguistic entropy and similarity measure, respectively. We further explore the relationship between the Pythagorean fuzzy linguistic entropy and similarity measure. Finally, we present a novel Pythagorean fuzzy linguistic MADM model with the Pythagorean fuzzy linguistic entropy and similarity measure. A numerical example of selecting the most desirable sustainable blockchain product is given, and a comparison with the existing approach was performed to validate the reliability of the developed decision-making model.

AN APPROACH FOR COMBINING LINGUISTIC AND NUMERICAL INFORMATION BASED ON THE 2-TUPLE FUZZY LINGUISTIC REPRESENTATION MODEL IN DECISION-MAKING

2000 ◽  
Vol 08 (05) ◽  
pp. 539-562 ◽  
Author(s):  
F. HERRERA ◽  
L. MARTINEZ
Keyword(s):  
Decision Making ◽  
Linguistic Information ◽  
Loss Of Information ◽  
Linguistic Representation ◽  
Representation Model ◽  
Decision Making Problem ◽  
Linguistic Term ◽  
Multi Attribute Decision Making ◽  
Fuzzy Linguistic ◽  
Transformation Processes

In this paper we shall develop a procedure for combining numerical and linguistic information without loss of information in the transformation processes between numerical and linguistic information, taking as base for representing the information the 2-tuple fuzzy linguistic representation model. We shall analyze the conditions to impose the linguistic term set in order to ensure that the combination procedure does not produce any loss of information. Afterwards the aggregation process will be applied to a decision procedure over a multi-attribute decision-making problem dealing with numerical and linguistic information, that is, with qualitative and quantitative attributes.

scholarly journals Induced Choquet Integral Aggregation Operators with Single-Valued Neutrosophic Uncertain Linguistic Numbers and Their Application in Multiple Attribute Group Decision-Making

2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Shuping Zhao ◽  
Dong Wang ◽  
Liang Changyong ◽  
Wenxing Lu
Keyword(s):  
Decision Making ◽  
Integral Operator ◽  
Group Decision ◽  
Choquet Integral ◽  
Comparison Method ◽  
Aggregation Operators ◽  
Multiple Attribute ◽  
Choquet Integral Operator ◽  
Magdm Problems ◽  
Better Than

For real decision-making problems, aggregating the attributes which have interactive or correlated characteristics by traditional aggregation operators is unsuitable. Thus, applying Choquet integral operator to approximate and simulate human subjective decision-making process, in which independence among the input arguments is not necessarily assumed, would be suitable. Moreover, using single-valued neutrosophic uncertain linguistic sets (SVNULSs) can express the indeterminate, inconsistent, and incomplete information better than FSs and IFSs. In this paper, we studied the MAGDM problems with SVNULSs and proposed two single-valued neutrosophic uncertain linguistic Choquet integrate aggregation operators where the interactions phenomena among the attributes or the experts are considered. First, the definition, operational rules, and comparison method of single-valued neutrosophic uncertain linguistic numbers (SVNULNs) are introduced briefly. Second, induced single-valued neutrosophic uncertain linguistic Choquet ordered averaging (I-SVNULCA) operator and induced single-valued neutrosophic uncertain linguistic Choquet geometric (I-SVNULCG) operator are presented. Moreover, a few of its properties are discussed. Further, the procedure and algorithm of MAGDM based on the above single-valued neutrosophic uncertain linguistic Choquet integral operator are proposed. Finally, in the illustrative example, the practicality and effectiveness of the proposed method would be demonstrated.

scholarly journals Interval-Valued Intuitionistic Fuzzy Einstein Geometric Choquet Integral Operator and Its Application to Multiattribute Group Decision-Making

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Qifeng Wang ◽  
Haining Sun
Keyword(s):  
Decision Making ◽  
Integral Operator ◽  
Group Decision Making ◽  
Group Decision ◽  
Choquet Integral ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Environment ◽  
Operational Laws ◽  
Choquet Integral Operator ◽  
Interval Valued

With respect to the multiattribute decision-making (MADM) problem in which the attributes have interdependent or interactive phenomena under the interval-valued intuitionistic fuzzy environment, we propose a group decision-making approach based on the interval-valued intuitionistic fuzzy Einstein geometric Choquet integral operator (IVIFEGC). Firstly, the Einstein operational laws and some basic principle on interval-valued intuitionistic fuzzy sets are introduced. Then, the IVIFEGC is developed and some desirable properties of the operator are studied. Further, an approach to multiattribute group decision-making with interval-valued intuitionistic fuzzy information is developed, where the attributes have interdependent phenomena. Finally, an illustrative example is used to illustrate the developed approach.

scholarly journals Interval neutrosophic numbers Choquet integral operator for multi-criteria decision making

2015 ◽  
Vol 28 (6) ◽  
pp. 2443-2455 ◽  
Author(s):  
Hong-Xia Sun ◽  
Hao-Xiong Yang ◽  
Jian-Zhang Wu ◽  
Yao Ouyang
Keyword(s):  
Decision Making ◽  
Integral Operator ◽  
Choquet Integral ◽  
Multi Criteria Decision Making ◽  
Choquet Integral Operator
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