Extended TOPSIS Method for Supplier Selection under Picture Hesitant Fuzzy Environment Using Linguistic Variables

Author:

Ambrin Rabia1,Ibrar Muhammad1ORCID,De La Sen Manuel2ORCID,Rabbi Ihsan3,Khan Asghar4

Affiliation:

1. Department of Mathematics, University of Science and Technology, Bannu, Pakistan

2. Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country, Campus of Leioa, Bizkaia 48940, Leioa, Spain

3. Department of Computer Science, University of Science and Technology, Bannu, Pakistan

4. Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan

Abstract

The main purpose of this planned manuscript is to establish an algorithm for the solution of multiattribute decision-making (MADM) issues, where the experts utilizing linguistic variables provide the information about attributes in the form of picture hesitant fuzzy numbers. So, for the solution of these kinds of issues, we develop the TOPSIS algorithm under picture hesitant fuzzy environment using linguistic variables, which plays a vital role in practical applications, notably MADM issues, where the decision information is arranged by the decision-makers (DMs) in the form of picture hesitant fuzzy numbers. Finally, a sample example is given as an application and appropriateness of the planned method. At the end, we conduct comparison analysis of the planned method with picture fuzzy TOPSIS method and intuitionistic fuzzy TOPSIS method.

Funder

Spanish Government

Publisher

Hindawi Limited

Subject

General Mathematics

Reference52 articles.

1. Fuzzy sets

2. Multiple objective decision-making using fuzzy sets

3. Hesitant fuzzy information aggregation in decision making

4. Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information

5. Multi-criteria decision making based on Choquet integral under hesitant fuzzu environment;D. Yu;Journal of Computational Information Systems,2011

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