Solutions and strong solutions of min-product fuzzy relation inequalities with application in supply chain

摘要

Min-product fuzzy relation inequalities are introduced to describe the price requirements in the supply chain system. We first investigate the resolution method and structure of the complete solution set to min-product fuzzy relation inequalities. Motivated by the practical application, we further define concept of strong solution. A strong solution represents a feasible pricing scheduling, enabling all the suppliers and retailers profitable in the trade activity. Relevant results about the strong solution are obtained. Based on such results, a step-by-step algorithm is developed for finding all the strong solutions to a system of min-product fuzzy relation inequalities. Numerical examples are given to illustrate the algorithm. (C) 2019 Published by Elsevier B.V.