Distance Based Entropy Measure of Interval-Valued Intuitionistic Fuzzy Sets and Its Application in Multicriteria Decision Making
Joint Authors
Rashid, Tabasam
Faizi, Shahzad
Zafar, Sohail
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-17
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Fuzzy entropy means the measurement of fuzziness in a fuzzy set and therefore plays a vital role in solving the fuzzy multicriteria decision making (MCDM) and multicriteria group decision making (MCGDM) problems.
In this study, the notion of the measure of distance based entropy for uncertain information in the context of interval-valued intuitionistic fuzzy set (IVIFS) is introduced.
The arithmetic and geometric average operators are firstly used to aggregate the interval-valued intuitionistic fuzzy information provided by the decision makers (DMs) or experts corresponding to each alternative, and then the fuzzy entropy of each alternative is calculated based on proposed distance measure.
Several numerical examples are solved to demonstrate the application to MCDM and MCGDM problems to show the effectiveness of the proposed approach.
American Psychological Association (APA)
Rashid, Tabasam& Faizi, Shahzad& Zafar, Sohail. 2018. Distance Based Entropy Measure of Interval-Valued Intuitionistic Fuzzy Sets and Its Application in Multicriteria Decision Making. Advances in Fuzzy Systems،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-986258
Modern Language Association (MLA)
Rashid, Tabasam…[et al.]. Distance Based Entropy Measure of Interval-Valued Intuitionistic Fuzzy Sets and Its Application in Multicriteria Decision Making. Advances in Fuzzy Systems No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-986258
American Medical Association (AMA)
Rashid, Tabasam& Faizi, Shahzad& Zafar, Sohail. Distance Based Entropy Measure of Interval-Valued Intuitionistic Fuzzy Sets and Its Application in Multicriteria Decision Making. Advances in Fuzzy Systems. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-986258
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-986258