Intuitionistic fuzzy-based TOPSIS method for multi-criterion optimization problem: a novel compromise methodology
The decision-making process is characterized by some doubt or hesitation due to the existence of uncertainty among some objectives or criteria. In this sense, it is quite difficult for decision maker(s) to reach the precise/exact solutions for these objectives. In this study, a novel approach based...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023860?viewType=HTML |
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| author | Ya Qin Rizk M. Rizk-Allah Harish Garg Aboul Ella Hassanien Václav Snášel |
| author_facet | Ya Qin Rizk M. Rizk-Allah Harish Garg Aboul Ella Hassanien Václav Snášel |
| author_sort | Ya Qin |
| collection | DOAJ |
| description | The decision-making process is characterized by some doubt or hesitation due to the existence of uncertainty among some objectives or criteria. In this sense, it is quite difficult for decision maker(s) to reach the precise/exact solutions for these objectives. In this study, a novel approach based on integrating the technique for order preference by similarity to ideal solution (TOPSIS) with the intuitionistic fuzzy set (IFS), named TOPSIS-IFS, for solving a multi-criterion optimization problem (MCOP) is proposed. In this context, the TOPSIS-IFS operates with two phases to reach the best compromise solution (BCS). First, the TOPSIS approach aims to characterize the conflicting natures among objectives by reducing these objectives into only two objectives. Second, IFS is incorporated to obtain the solution model under the concept of indeterminacy degree by defining two membership functions for each objective (i.e., satisfaction degree, dissatisfaction degree). The IFS can provide an effective framework that reflects the reality contained in any decision-making process. The proposed TOPSIS-IFS approach is validated by carrying out an illustrative example. The obtained solution by the approach is superior to those existing in the literature. Also, the TOPSIS-IFS approach has been investigated through solving the multi-objective transportation problem (MOTP) as a practical problem. Furthermore, impacts of IFS parameters are analyzed based on Taguchi method to demonstrate their effects on the BCS. Finally, this integration depicts a new philosophy in the mathematical programming field due to its interesting principles. |
| first_indexed | 2024-03-13T08:45:53Z |
| format | Article |
| id | doaj.art-2bb1e64ae7474481b3919015bdbaaa8d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T08:45:53Z |
| publishDate | 2023-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-2bb1e64ae7474481b3919015bdbaaa8d2023-05-30T01:46:23ZengAIMS PressAIMS Mathematics2473-69882023-05-0187168251684510.3934/math.2023860Intuitionistic fuzzy-based TOPSIS method for multi-criterion optimization problem: a novel compromise methodologyYa Qin0Rizk M. Rizk-Allah1Harish Garg2Aboul Ella Hassanien3 Václav Snášel41. School of Mathematics and Information Sciences, Numerical Simulation Key Laboratory of Sichuan Provincial Universities, Neijiang Normal University, Neijiang 641000, Sichuan, China2. Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt 3. Faculty of Electrical Engineering and Computer Science, VŠB-Technical University of Ostrava, Poruba-Ostrava 70800, Czech Republic4. School of Mathematics, Thapar Institute of Engineering & Technology (Deemed University), Patiala 147004, Punjab, India 5. Applied Science Research Center, Applied Science Private University, Amman 11931, Jordan 6. Department of Mathematics, Graphic Era Deemed to be University, Dehradun 248002, Uttarakhand, India 7. College of Technical Engineering, The Islamic University, Najaf, Iraq8. Faculty of Computers and AI, Cairo University, Egypt3. Faculty of Electrical Engineering and Computer Science, VŠB-Technical University of Ostrava, Poruba-Ostrava 70800, Czech RepublicThe decision-making process is characterized by some doubt or hesitation due to the existence of uncertainty among some objectives or criteria. In this sense, it is quite difficult for decision maker(s) to reach the precise/exact solutions for these objectives. In this study, a novel approach based on integrating the technique for order preference by similarity to ideal solution (TOPSIS) with the intuitionistic fuzzy set (IFS), named TOPSIS-IFS, for solving a multi-criterion optimization problem (MCOP) is proposed. In this context, the TOPSIS-IFS operates with two phases to reach the best compromise solution (BCS). First, the TOPSIS approach aims to characterize the conflicting natures among objectives by reducing these objectives into only two objectives. Second, IFS is incorporated to obtain the solution model under the concept of indeterminacy degree by defining two membership functions for each objective (i.e., satisfaction degree, dissatisfaction degree). The IFS can provide an effective framework that reflects the reality contained in any decision-making process. The proposed TOPSIS-IFS approach is validated by carrying out an illustrative example. The obtained solution by the approach is superior to those existing in the literature. Also, the TOPSIS-IFS approach has been investigated through solving the multi-objective transportation problem (MOTP) as a practical problem. Furthermore, impacts of IFS parameters are analyzed based on Taguchi method to demonstrate their effects on the BCS. Finally, this integration depicts a new philosophy in the mathematical programming field due to its interesting principles.https://www.aimspress.com/article/doi/10.3934/math.2023860?viewType=HTMLmulti-criterion optimizationintuitionistic fuzzytopsiscompromise solutiontaguchi method |
| spellingShingle | Ya Qin Rizk M. Rizk-Allah Harish Garg Aboul Ella Hassanien Václav Snášel Intuitionistic fuzzy-based TOPSIS method for multi-criterion optimization problem: a novel compromise methodology AIMS Mathematics multi-criterion optimization intuitionistic fuzzy topsis compromise solution taguchi method |
| title | Intuitionistic fuzzy-based TOPSIS method for multi-criterion optimization problem: a novel compromise methodology |
| title_full | Intuitionistic fuzzy-based TOPSIS method for multi-criterion optimization problem: a novel compromise methodology |
| title_fullStr | Intuitionistic fuzzy-based TOPSIS method for multi-criterion optimization problem: a novel compromise methodology |
| title_full_unstemmed | Intuitionistic fuzzy-based TOPSIS method for multi-criterion optimization problem: a novel compromise methodology |
| title_short | Intuitionistic fuzzy-based TOPSIS method for multi-criterion optimization problem: a novel compromise methodology |
| title_sort | intuitionistic fuzzy based topsis method for multi criterion optimization problem a novel compromise methodology |
| topic | multi-criterion optimization intuitionistic fuzzy topsis compromise solution taguchi method |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023860?viewType=HTML |
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