Interval linguistic fuzzy decision making in perspective of preference relations
Consistency analysis is a crucial topic for preference relations. This paper studies the consistency of interval linguistic fuzzy preference relations (ILFPRs) using the constrained interval linguistic arithmetic and introduces a new consistency definition. Then, several properties of this definiti...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Vilnius Gediminas Technical University
2019-07-01
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Series: | Technological and Economic Development of Economy |
Subjects: | |
Online Access: | https://tede.vgtu.lt/index.php/TEDE/article/view/10548 |
Summary: | Consistency analysis is a crucial topic for preference relations. This paper studies the consistency of interval linguistic fuzzy preference relations (ILFPRs) using the constrained interval linguistic arithmetic and introduces a new consistency definition. Then, several properties of this definition are researched. Meanwhile, the connection between this concept and a previous one is discussed. Following this concept, programming models for judging the consistency and for deriving consistent ILFPRs are constructed, respectively. Considering the case that incomplete ILFPRs may be obtained, a programming model for obtaining missing judgments following the consistency discussion is built. Afterwards, the consensus for group decision making (GDM) is studied and a model for adjusting individual ILFPRs to reach the consensus threshold is established. Consequently, an interactive procedure for GDM with ILFPRs is presented. A practical problem is provided to illustrate the utilization of the new algorithm and comparative discussion is offered.
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ISSN: | 2029-4913 2029-4921 |