Ranking Fuzzy Sets with Signed Distance and Fuzzy Inventory without Backorder Based on Statistical Data

以有號距離對模糊集的排序並利用統計資料探討無缺貨補貨的模糊庫存

江哲賢(Jer-shan Chiang)

《華岡理科學報》 20期 (2003/05) Pp. 115-139

摘要

我們將【１９】的有號距離和在實數軸上模糊數的排序推廣且考慮它的代數結構。利用有號距離和形心將無缺貨補貨的模糊庫存的總成本利用有號距離和形心解模糊化。利用這兩種方法，我們有模糊情形下總成本的估計。我們可以求得模糊情形下的最佳解。

並列摘要

We extend the signed distance and ranking of the fuzzy numbers on R = (-∞, ∞) in Yao and Wu[18] to those of the fuzzy sets on R and consider its algebraic structure. We use signed distance and centroid to defuzzify the total cost in the fuzzy sense in fuzzy inventory without backorder. Through these two methods, we have two estimations of the total cost in the fuzzy sense. Moreover we can get the optimal solution in the fuzzy sense.

並列關鍵字

Algebraic Structure ； Fuzzy Cost ； Fuzzy Inventory ； Fuzzy Number ； Signed Distance