Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology

Probabilistic interval-valued hesitant fuzzy sets (PIVHFSs) are an extension of interval-valued hesitant fuzzy sets (IVHFSs) in which each hesitant interval value is considered along with its occurrence probability. These assigned probabilities give more details about the level of agreeness or disag...

Full description

Saved in:
Bibliographic Details
Main Authors: M. Sarwar Sindhu, Tabasam Rashid, Agha Kashif, Juan Luis García Guirao
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2019/1527612
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832562467246440448
author M. Sarwar Sindhu
Tabasam Rashid
Agha Kashif
Juan Luis García Guirao
author_facet M. Sarwar Sindhu
Tabasam Rashid
Agha Kashif
Juan Luis García Guirao
author_sort M. Sarwar Sindhu
collection DOAJ
description Probabilistic interval-valued hesitant fuzzy sets (PIVHFSs) are an extension of interval-valued hesitant fuzzy sets (IVHFSs) in which each hesitant interval value is considered along with its occurrence probability. These assigned probabilities give more details about the level of agreeness or disagreeness. PIVHFSs describe the belonging degrees in the form of interval along with probabilities and thereby provide more information and can help the decision makers (DMs) to obtain precise, rational, and consistent decision consequences than IVHFSs, as the correspondence of unpredictability and inaccuracy broadly presents in real life problems due to which experts are confused to assign the weights to the criteria. In order to cope with this problem, we construct the linear programming (LP) methodology to find the exact values of the weights for the criteria. Furthermore these weights are employed in the aggregation operators of PIVHFSs recently developed. Finally, the LP methodology and the actions are then applied on a certain multiple criteria decision making (MCDM) problem and a comparative analysis is given at the end.
format Article
id doaj-art-4a3d388a2a4a40c98c8f638cd81439a8
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-4a3d388a2a4a40c98c8f638cd81439a82025-02-03T01:22:30ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/15276121527612Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP MethodologyM. Sarwar Sindhu0Tabasam Rashid1Agha Kashif2Juan Luis García Guirao3Department of Mathematics, University of Management and Technology, Lahore 54770, PakistanDepartment of Mathematics, University of Management and Technology, Lahore 54770, PakistanDepartment of Mathematics, University of Management and Technology, Lahore 54770, PakistanDepartamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, SpainProbabilistic interval-valued hesitant fuzzy sets (PIVHFSs) are an extension of interval-valued hesitant fuzzy sets (IVHFSs) in which each hesitant interval value is considered along with its occurrence probability. These assigned probabilities give more details about the level of agreeness or disagreeness. PIVHFSs describe the belonging degrees in the form of interval along with probabilities and thereby provide more information and can help the decision makers (DMs) to obtain precise, rational, and consistent decision consequences than IVHFSs, as the correspondence of unpredictability and inaccuracy broadly presents in real life problems due to which experts are confused to assign the weights to the criteria. In order to cope with this problem, we construct the linear programming (LP) methodology to find the exact values of the weights for the criteria. Furthermore these weights are employed in the aggregation operators of PIVHFSs recently developed. Finally, the LP methodology and the actions are then applied on a certain multiple criteria decision making (MCDM) problem and a comparative analysis is given at the end.http://dx.doi.org/10.1155/2019/1527612
spellingShingle M. Sarwar Sindhu
Tabasam Rashid
Agha Kashif
Juan Luis García Guirao
Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology
Discrete Dynamics in Nature and Society
title Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology
title_full Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology
title_fullStr Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology
title_full_unstemmed Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology
title_short Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology
title_sort multiple criteria decision making based on probabilistic interval valued hesitant fuzzy sets by using lp methodology
url http://dx.doi.org/10.1155/2019/1527612
work_keys_str_mv AT msarwarsindhu multiplecriteriadecisionmakingbasedonprobabilisticintervalvaluedhesitantfuzzysetsbyusinglpmethodology
AT tabasamrashid multiplecriteriadecisionmakingbasedonprobabilisticintervalvaluedhesitantfuzzysetsbyusinglpmethodology
AT aghakashif multiplecriteriadecisionmakingbasedonprobabilisticintervalvaluedhesitantfuzzysetsbyusinglpmethodology
AT juanluisgarciaguirao multiplecriteriadecisionmakingbasedonprobabilisticintervalvaluedhesitantfuzzysetsbyusinglpmethodology