An Exhaustive Study of Possibility Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Multicriteria Decision Making

This work is interested in showing the importance of possibility theory in multicriteria decision making (MCDM). Thus, we apply some possibility measures from literature to the MCDM method using interval-valued intuitionistic fuzzy sets (IVIFSs). These measures are applied to a decision matrix after...

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Main Authors: Fatma Dammak, Leila Baccour, Adel M. Alimi
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2016/9185706
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author Fatma Dammak
Leila Baccour
Adel M. Alimi
author_facet Fatma Dammak
Leila Baccour
Adel M. Alimi
author_sort Fatma Dammak
collection DOAJ
description This work is interested in showing the importance of possibility theory in multicriteria decision making (MCDM). Thus, we apply some possibility measures from literature to the MCDM method using interval-valued intuitionistic fuzzy sets (IVIFSs). These measures are applied to a decision matrix after being transformed with aggregation operators. The results are compared between each other and concluding remarks are drawn.
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series Advances in Fuzzy Systems
spelling doaj-art-14bf713c861241529f0f5d5ec832752f2025-02-03T01:23:54ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2016-01-01201610.1155/2016/91857069185706An Exhaustive Study of Possibility Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Multicriteria Decision MakingFatma Dammak0Leila Baccour1Adel M. Alimi2REGIM-Lab.: Research Groups in Intelligent Machines, University of Sfax, ENIS, BP 1173, 3038 Sfax, TunisiaREGIM-Lab.: Research Groups in Intelligent Machines, University of Sfax, ENIS, BP 1173, 3038 Sfax, TunisiaREGIM-Lab.: Research Groups in Intelligent Machines, University of Sfax, ENIS, BP 1173, 3038 Sfax, TunisiaThis work is interested in showing the importance of possibility theory in multicriteria decision making (MCDM). Thus, we apply some possibility measures from literature to the MCDM method using interval-valued intuitionistic fuzzy sets (IVIFSs). These measures are applied to a decision matrix after being transformed with aggregation operators. The results are compared between each other and concluding remarks are drawn.http://dx.doi.org/10.1155/2016/9185706
spellingShingle Fatma Dammak
Leila Baccour
Adel M. Alimi
An Exhaustive Study of Possibility Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Multicriteria Decision Making
Advances in Fuzzy Systems
title An Exhaustive Study of Possibility Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Multicriteria Decision Making
title_full An Exhaustive Study of Possibility Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Multicriteria Decision Making
title_fullStr An Exhaustive Study of Possibility Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Multicriteria Decision Making
title_full_unstemmed An Exhaustive Study of Possibility Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Multicriteria Decision Making
title_short An Exhaustive Study of Possibility Measures of Interval-Valued Intuitionistic Fuzzy Sets and Application to Multicriteria Decision Making
title_sort exhaustive study of possibility measures of interval valued intuitionistic fuzzy sets and application to multicriteria decision making
url http://dx.doi.org/10.1155/2016/9185706
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