Robust neutrosophic programming approach for solving intuitionistic fuzzy multiobjective optimization problems

Author:

Ahmad FirozORCID

Abstract

AbstractThis study presents the modeling of the multiobjective optimization problem in an intuitionistic fuzzy environment. The uncertain parameters are depicted as intuitionistic fuzzy numbers, and the crisp version is obtained using the ranking function method. Also, we have developed a novel interactive neutrosophic programming approach to solve multiobjective optimization problems. The proposed method involves neutral thoughts while making decisions. Furthermore, various sorts of membership functions are also depicted for the marginal evaluation of each objective simultaneously. The different numerical examples are presented to show the performances of the proposed solution approach. A case study of the cloud computing pricing problem is also addressed to reveal the real-life applications. The practical implication of the current study is also discussed efficiently. Finally, conclusions and future research scope are suggested based on the proposed work.

Publisher

Springer Science and Business Media LLC

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference39 articles.

1. Abdel-Basset M, Gunasekaran M, Mohamed M, Smarandache F (2019) A novel method for solving the fully neutrosophic linear programming problems. Neural Comput Appl 31(5):1595–1605

2. Adhami AY, Ahmad F (2020) Interactive pythagorean-hesitant fuzzy computational algorithm for multiobjective transportation problem under uncertainty. Int J Manag Sci Eng Manag 15:1–10

3. Ahmad F, Adhami AY (2019) Neutrosophic programming approach to multiobjective nonlinear transportation problem with fuzzy parameters. Int J Manag Sci Eng Manag 14(3):218–229

4. Ahmad F, Adhami AY (2019) Total cost measures with probabilistic cost function under varying supply and demand in transportation problem. OPSEARCH 56(2):583–602

5. Ahmad F, Adhami AY, Smarandache F (2018) Single valued neutrosophic hesitant fuzzy computational algorithm for multiobjective nonlinear optimization problem. Neutrosophic Sets Syst 22:76–86

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