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An Efficient Ranking Technique for Intuitionistic Fuzzy Numbers with Its Application in Chance Constrained Bilevel Programming
Joint Authors
De, Arnab Kumar
Biswas, Animesh
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-28
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The aim of this paper is to develop a new ranking technique for intuitionistic fuzzy numbers using the method of defuzzification based on probability density function of the corresponding membership function, as well as the complement of nonmembership function.
Using the proposed ranking technique a methodology for solving linear bilevel fuzzy stochastic programming problem involving normal intuitionistic fuzzy numbers is developed.
In the solution process each objective is solved independently to set the individual goal value of the objectives of the decision makers and thereby constructing fuzzy membership goal of the objectives of each decision maker.
Finally, a fuzzy goal programming approach is considered to achieve the highest membership degree to the extent possible of each of the membership goals of the decision makers in the decision making context.
Illustrative numerical examples are provided to demonstrate the applicability of the proposed methodology and the achieved results are compared with existing techniques.
American Psychological Association (APA)
Biswas, Animesh& De, Arnab Kumar. 2016. An Efficient Ranking Technique for Intuitionistic Fuzzy Numbers with Its Application in Chance Constrained Bilevel Programming. Advances in Fuzzy Systems،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1095061
Modern Language Association (MLA)
Biswas, Animesh& De, Arnab Kumar. An Efficient Ranking Technique for Intuitionistic Fuzzy Numbers with Its Application in Chance Constrained Bilevel Programming. Advances in Fuzzy Systems No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1095061
American Medical Association (AMA)
Biswas, Animesh& De, Arnab Kumar. An Efficient Ranking Technique for Intuitionistic Fuzzy Numbers with Its Application in Chance Constrained Bilevel Programming. Advances in Fuzzy Systems. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1095061
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095061