An Approach for Achieving Consistency for Symmetric Trapezoidal Interval Type-2 Fuzzy Sets
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-20
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Interval type-2 fuzzy sets (IT2 FSs) are powerful tools for dealing with linguistic information in decision making.
However, there is a dearth of research regarding the consistency of preference relations based on IT2 FSs.
In this paper, symmetric IT2 FSs and IT2 additive preference relations are defined, whilst at the same time a mapping method is proposed to convert IT2 numbers into the corresponding linguistic terms based on the ranking values for IT2 FSs, and some properties for symmetric IT2 FSs are proved.
Then, we discuss the process for achieving consistency for IT2 additive preference relations.
An algorithm is developed for the IT2 additive preference relation process for achieving consistency, and some desired algorithmic properties are proved.
Finally, an actual case study is used in order to demonstrate the effectiveness of the proposed approach.
American Psychological Association (APA)
Xu, Jiuping& Xu, Kang. 2019. An Approach for Achieving Consistency for Symmetric Trapezoidal Interval Type-2 Fuzzy Sets. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1195394
Modern Language Association (MLA)
Xu, Jiuping& Xu, Kang. An Approach for Achieving Consistency for Symmetric Trapezoidal Interval Type-2 Fuzzy Sets. Mathematical Problems in Engineering No. 2019 (2019), pp.1-16.
https://search.emarefa.net/detail/BIM-1195394
American Medical Association (AMA)
Xu, Jiuping& Xu, Kang. An Approach for Achieving Consistency for Symmetric Trapezoidal Interval Type-2 Fuzzy Sets. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-16.
https://search.emarefa.net/detail/BIM-1195394
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195394