Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology
Joint Authors
Rashid, Tabasam
Guirao, Juan L. G.
Sindhu, M. Sarwar
Kashif, Agha
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-07
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Sindhu, M. Sarwar& Rashid, Tabasam& Kashif, Agha& Guirao, Juan L. G.. 2019. Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1146229
Modern Language Association (MLA)
Sindhu, M. Sarwar…[et al.]. Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1146229
American Medical Association (AMA)
Sindhu, M. Sarwar& Rashid, Tabasam& Kashif, Agha& Guirao, Juan L. G.. Multiple Criteria Decision Making Based on Probabilistic Interval-Valued Hesitant Fuzzy Sets by Using LP Methodology. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1146229
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146229