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Soft Computing

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10-11-2018 | Methodologies and Application

Pythagorean hesitant fuzzy Choquet integral aggregation operators and their application to multi-attribute decision-making

Authors: Muhammad Sajjad Ali Khan, Saleem Abdullah, Asad Ali, Fazli Amin, Fawad Hussain

Published in: Soft Computing | Issue 1/2019

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Abstract

Pythagorean hesitant fuzzy sets play a vital role in decision-making as it permits a set of possible elements in membership and non-membership degrees and satisfy the condition that the square sum of its memberships degree is less than or equal to 1. While aggregation operators are used to aggregate the overall preferences of the attributes, under Pythagorean hesitant fuzzy environment and fuzzy measure in the paper we develop Pythagorean hesitant fuzzy Choquet integral averaging operator, Pythagorean hesitant fuzzy Choquet integral geometric operator, generalized Pythagorean hesitant fuzzy Choquet integral averaging operator and generalized Pythagorean hesitant fuzzy Choquet integral geometric operator. We also discuss some properties such as idempotency, monotonicity and boundedness of the developed operators. Moreover, we apply the developed operators to multi-attribute decision-making problem to show the validity and effectiveness of the developed operators. Finally, a comparison analysis is given.

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Title: Pythagorean hesitant fuzzy Choquet integral aggregation operators and their application to multi-attribute decision-making
Authors: Muhammad Sajjad Ali Khan
Saleem Abdullah
Asad Ali
Fazli Amin
Fawad Hussain
Publication date: 10-11-2018
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 1/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-018-3592-0

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