An Optimized Approach for Minimizing Transportation Costs through the Lens of Triangular Fuzzy Neutrosophic Theory
Sincy B
*
Department of Mathematics, Sree Narayana College Chengannur, St. Joseph’s College Irinjalakuda, University of Calicut, Kerala, India.
Riya V M
Department of Mathematics, Sree Narayana College Nattika, University of Calicut, Kerala, India.
*Author to whom correspondence should be addressed.
Abstract
The transportation problem emphasizes on distributing goods efficiently from supply points to demand destinations, aiming to minimize both transportation time and cost. However, in today's context of unpredictable social and economic conditions, the supply, demand, and transportation costs often cannot be determined precisely. The aim of this paper is to introduce a novel approach to solving the Neutrosophic Transportation Problem by employing triangular neutrosophic fuzzy numbers to represent the cost coefficients within the transportation table. These fuzzy parameters are defuzzified into equivalent crisp values using a score function, allowing for effective optimization. A comprehensive and systematic methodology is proposed to derive the optimal transportation plan. The performance of the proposed approach is evaluated through comparative analysis with existing methods, demonstrating its enhanced efficiency and applicability in uncertain decision-making environments.
Keywords: Transportation problem, triangular fuzzy number, optimization, average deviation, score function