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Fuzzy goal programming approach to solve fully fuzzy multi-objective quadratic programming problem

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Abstract

The focus of this paper is to suggest a solution methodology for a fully fuzzy multi-objective quadratic programming problem. Solving the provided mathematical model using known classical methods is extremely difficult. To solve the present mathematical programming problem, three major approaches are suggested. In first step, we used arithmetic operations between two fuzzy parameters and variables. The importance is given in the next step to handle fuzzy part of objective functions by ranking functions and after the completion of the second step, the fuzzy part of the fuzzy constraints tackled by the inequality property of between two triangular fuzzy numbers. Finally, the transformed multi-objective quadratic mathematical programming problem is solved using a weighted fuzzy goal programming approach. The final solution of the suggested model is derived using existing methodology and softwares. The working procedures of the proposed method is further discussed using numerical example.

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Acknowledgements

We, the authors, would like to express our gratitude to the researchers whose findings we have mentioned in this study. We would like to extend our gratitude to reviewers and editorial teams for giving us opportunities to revise the manuscript that helps to improve the quality of the research work.

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Authors and Affiliations

  1. Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, India

    Admasu Tadesse, M. M. Acharya, Srikumar Acharya & Manoranjan Sahoo

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  1. Admasu Tadesse
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  2. M. M. Acharya
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  3. Srikumar Acharya
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  4. Manoranjan Sahoo
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Correspondence to Admasu Tadesse.

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Tadesse, A., Acharya, M.M., Acharya, S. et al. Fuzzy goal programming approach to solve fully fuzzy multi-objective quadratic programming problem. Int J Syst Assur Eng Manag 15, 705–712 (2024). https://doi.org/10.1007/s13198-022-01733-y

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