Abstract: Nowadays, online reverse auction plays more and more important role in the economic and social developments, which is mainly used in the field of procurement and bidding. Nevertheless, in the actual procurement auction, there often exists a certain extent of uncertainties in the aspects of commodity attributes and suppliers' information. Moreover, the descriptions of these uncertainties have a variety of fuzzy representations. All these will increase the risk expectation of buyer and the difficulty in determing the winning supplier. Therefore, based on the prospect theory and fuzzy set theory, we study the winner determination problem of online multi-attribute reverse auction in which five attribute description methods simultaneously exist including precise number, interval number, triangular fuzzy number, trapezoidal fuzzy number and semantic fuzzy term. We propose a general winner (successful bidder) determination method for online multi-attribute reverse auction under mixed uncertain situations. Finally, the rationality and validity of the proposed method are verified by comparative analysis and numerical examples, and the stability and applicability of the method are further illustrated by robustness analysis.

Key words: online multi-attribute reverse auction, fuzzy theory, mixed uncertainties, prospect theory, winner determining

摘要： 在线反向拍卖在当今的经济社会发展中扮演越来越重要的角色,其主要应用于采购招标领域。而在实际的采购拍卖中有关商品属性和供应商信息等方面常会存在一定程度的不确定性,且这些不确定性的刻画又存在着多种模糊表述形式,这些都将增加采购方的风险预期和竞标供应商赢者确定的难度。为此,本文基于前景理论及模糊集理论,研究了同时存在精确数、区间数、三角模糊数、梯形模糊数和语义模糊术语五种属性描述方式的在线多属性反向拍卖的赢者确定问题,提出了一种更具一般性的混合不确定情景下的在线多属性反向拍卖赢者(中标者)确定方法。最后,通过数值算例和比较分析验证了本文所提方法的合理性与有效性,并通过稳健性分析进一步说明方法的稳定性和适用性。

关键词: 在线反向拍卖多属性, 混合不确定, 模糊理论, 前景理论, 赢者确定