Analysis on the Neutrosophic Fuzzy Rough Multi-objective Quadratic Transportation Problem Using Various Membership Functions

Paraman Anukokila ¹ ( Department of Mathematics, PSG College of Arts and Science, Tamil Nadu, India. )
Rajenndran Nisanthini ² ( Department of Mathematics, PSG College of Arts and Science, Tamil Nadu, India. )
Bheeman Radhakrishnan ³ ( Department of Mathematics, KPR Institute of Engineering and Technology, Tamil Nadu, India. )

تاریخ ارسال : 1404/02/12 تاریخ تایید : 1404/06/27

کلید واژه: Quadratic transportation problem, Rough set theory, Neutrosophic set, Membership functions, Goal programming.,

چکیده مقاله :

This paper introduces a new variant of fuzzy set called a neutrosophic fuzzy rough set, which is developed by combining both rough set and neutrosophic fuzzy set theory for optimal benefit. An effective optimization of the multi-objective quadratic transportation problem is examined, with a chance of distinct solution vectors for each objective function. This paper employs both neutrosophic fuzzy rough numbers and MOQTP to model Neutrosophic Fuzzy Rough Multi-Objective Quadratic Transportation Problem (NFRMOQTP). In addition, we present a method for solving NFRMOQTP with a numerical example, which involves transforming the model into a single-objective quadratic transportation problem by utilizing various membership functions. Further, in order to verify the suggested approach, we contrast the outcomes with existing technique and the results are discussed.

چکیده انگلیسی :

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Analysis on the Neutrosophic Fuzzy Rough Multi-objective Quadratic Transportation Problem Using Various Membership Functions

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