TOPSIS method based on connection number of set pair analysis subject to bipolar fuzzy environment with application in decision making

Author:

Arif Waqar1,Khan Waheed Ahmad2,Khan Asghar1,Mahmood Tariq3,Rashmanlou Hossein4

Affiliation:

1. Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, Pakistan

2. Division of science and technology, Department of Mathematics, University of Education Lahore, Attock campus, Punjab, Pakistan

3. Department of Mathematics, University of Chakwal, Punjab, Pakistan

4. School of Physics, Damghan University, Damghan, Iran

Abstract

In this manuscript, we develop TOPSIS (Technique for order of preference by similarity to ideal solution) method in the setting of bipolar fuzzy environment which has the ability to deal the data while keeping in view the positive and negative aspects. By using bipolar fuzzy sets, we establish the novel concept of rating the numerous preferences of any object described through the connection number(CN) of set pair analysis(SPA). In this regard, we extend the TOPSIS method based on the connection number(CN) of set pair analysis(SPA) in the frame of bipolar fuzzy sets. For the sake of verification, effectiveness and superiority of our method, we conduct the comparative study of some real life problem related to decision making theory. Moreover, we observe that our proposed method also fulfills the existing test criterions.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference35 articles.

1. Bipolar fuzzy TOPSIS and bipolar fuzzy ELECTRE-I methods to diagnosis;Akram;Computational and Applied Mathematics,2020

2. Multi criteria decision making methods in bipolar fuzzy environment;Alghamdi;International Journal of Fuzzy Systems,2018

3. Arya V. and Kumar S. , Fuzzy Entropy Measure with an Applications in Decision Making Under Bipolar Fuzzy Environment based on TOPSIS Method, International Journal of Information & Management Sciences 31(2) (2020).

4. Intuitionistic fuzzy sets;Atanassov;Fuzzy Sets and Systems,1986

5. Interval-valued intuitionistic fuzzy sets, In;Atanassov;Intuitionistic Fuzzy Sets, Physica, Heidelberg,1999

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