article

Multi-criteria decision-making method based on interval-valued intuitionistic fuzzy sets

Authors:

V. Lakshmana Gomathi Nayagam,

S. Muralikrishnan,

Geetha SivaramanAuthors Info & Claims

Expert Systems with Applications: An International Journal, Volume 38, Issue 3

Pages 1464 - 1467

https://doi.org/10.1016/j.eswa.2010.07.055

Published: 01 March 2011 Publication History

Abstract

Out of several generalizations of fuzzy set theory for various objectives, the notions introduced by Atanassov (1983) and Atanassov and Gargov (1989) in defining intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets are interesting and very useful in modeling real life problems. Ranking of interval-valued intuitionistic fuzzy sets plays a vital role in decision-making, data analysis, artificial intelligence and socioeconomic system and it was studied in Xu (2007c), Xu and Chen (2007a) and Ye (2009). In this paper a new method for ranking interval-valued intuitionistic fuzzy sets has been introduced and studied. The method is illustrated by numerical examples and compared with other methods. And then a new method for handling multi-criteria fuzzy decision-making problems based on interval-valued intuitionistic fuzzy sets is presented in which criterion values for alternatives are interval-valued intuitionistic fuzzy sets. The method proposed here can provide a useful way to efficiently help the decision-maker to make his decision. An illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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Cited By

Vishnukumar PEdwin Antony Raj MSivaraman G(2024)A novel similarity measure based on new accuracy function on interval-valued intuitionistic fuzzy number and its application to multicriteria decision-making problemNeural Computing and Applications10.1007/s00521-023-09313-236:10(5183-5195)Online publication date: 1-Apr-2024
https://dl.acm.org/doi/10.1007/s00521-023-09313-2
Dutta PTalukdar P(2023)An Advanced Entropy Measure of IFSs via Similarity MeasureInternational Journal of Fuzzy System Applications10.4018/IJFSA.31971212:1(1-23)Online publication date: 10-Mar-2023
https://dl.acm.org/doi/10.4018/IJFSA.319712
Yang LGao G(2023)Research on innovation and entrepreneurship education environment evaluation in universities under the background of “Double Innovation” with interval-valued intuitionistic fuzzy informationJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-23215145:6(11189-11201)Online publication date: 1-Jan-2023
https://dl.acm.org/doi/10.3233/JIFS-232151
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Multi-criteria decision-making method based on interval-valued intuitionistic fuzzy sets
1. Computing methodologies
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Published In

cover image Expert Systems with Applications: An International Journal

Expert Systems with Applications: An International Journal Volume 38, Issue 3

March, 2011

1654 pages

ISSN:0957-4174

Issue’s Table of Contents

Copyright © Elsevier Ltd © 2010.

Publisher

Pergamon Press, Inc.

United States

Publication History

Published: 01 March 2011

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Cited By

Vishnukumar PEdwin Antony Raj MSivaraman G(2024)A novel similarity measure based on new accuracy function on interval-valued intuitionistic fuzzy number and its application to multicriteria decision-making problemNeural Computing and Applications10.1007/s00521-023-09313-236:10(5183-5195)Online publication date: 1-Apr-2024
https://dl.acm.org/doi/10.1007/s00521-023-09313-2
Dutta PTalukdar P(2023)An Advanced Entropy Measure of IFSs via Similarity MeasureInternational Journal of Fuzzy System Applications10.4018/IJFSA.31971212:1(1-23)Online publication date: 10-Mar-2023
https://dl.acm.org/doi/10.4018/IJFSA.319712
Yang LGao G(2023)Research on innovation and entrepreneurship education environment evaluation in universities under the background of “Double Innovation” with interval-valued intuitionistic fuzzy informationJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-23215145:6(11189-11201)Online publication date: 1-Jan-2023
https://dl.acm.org/doi/10.3233/JIFS-232151
Yang R(2023)Extended QUALIFLEX method for electronic music acoustic quality evaluation based on the picture fuzzy multiple attribute group decision makingJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-22337744:3(5021-5032)Online publication date: 1-Jan-2023
https://dl.acm.org/doi/10.3233/JIFS-223377
Garg H(2021)New exponential operation laws and operators for interval-valued q-rung orthopair fuzzy sets in group decision making processNeural Computing and Applications10.1007/s00521-021-06036-033:20(13937-13963)Online publication date: 1-Oct-2021
https://dl.acm.org/doi/10.1007/s00521-021-06036-0
Thao N(2021)MOORA models based on new score function of interval-valued intuitionistic sets and apply to select materials for mushroom cultivationNeural Computing and Applications10.1007/s00521-020-05648-233:17(10975-10985)Online publication date: 1-Sep-2021
https://dl.acm.org/doi/10.1007/s00521-020-05648-2
Keikha AGarg HMishmast Nehi H(2021)An approach based on combining Choquet integral and TOPSIS methods to uncertain MAGDM problemsSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-021-05682-925:10(7181-7195)Online publication date: 1-May-2021
https://dl.acm.org/doi/10.1007/s00500-021-05682-9
Ali JBashir ZRashid T(2021)Weighted interval-valued dual-hesitant fuzzy sets and its application in teaching quality assessmentSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-020-05383-925:5(3503-3530)Online publication date: 1-Mar-2021
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Khan MKumam PLiu PKumam W(2020)Another view on generalized interval valued intuitionistic fuzzy soft set and its applications in decision support systemJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-19094438:4(4327-4341)Online publication date: 1-Jan-2020
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He ZGuo ZLin PSong FGarcía Guirao J(2020)A method for interval-valued intuitionistic fuzzy multiple attribute decision making based on fuzzy entropyJournal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology10.3233/JIFS-17984738:6(7779-7785)Online publication date: 1-Jan-2020
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