Fuzzy Inventory with Backorder Defuzzification by Signed Distance Method




江哲賢(Jer-Shan Chiang);姚景星(Jing-Shing Yao);李惠明(Huey-Ming Lee)

Key Words

fuzzy inventory ; fuzzy sets ; fuzzy total cost ; signed distance ; extension principle


Journal of Information Science and Engineering

Volume or Term/Year and Month of Publication

21卷4期(2005 / 07 / 01)

Page #

673 - 694

Content Language


English Abstract

In this paper, we consider fuzzy inventory with backorder. First, we fuzzify the storing cost a, backorder cost b, cost of placing an order c, total demand r, order quantity q, and shortage quantity s as the triangular fuzzy numbers in the total cost. From these, we can obtain the fuzzy total cost. Using the signed distance method to defuzzify, we get the estimate of the total cost in the fuzzy sense. Two special cases of the optimal solutions on fuzzifying the storage quantity and order quantity as triangular fuzzy numbers will be treated numerically by the Nedler-Mead algorithm.

Topic Category 基礎與應用科學 > 資訊科學