文献类型：期刊文献

英文题名：Representing a probabilistic linguistic term set with an interval type-2 fuzzy set and the application in green supplier selection

作者：Jiang, Le[1];Liu, Hongbin[2]

第一作者：Jiang, Le

通讯作者：Liu, HB[1]

机构：[1]Zhengzhou Univ Light Ind, Sch Math & Informat Sci, Zhengzhou, Henan, Peoples R China;[2]Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China

第一机构：Zhengzhou Univ Light Ind, Sch Math & Informat Sci, Zhengzhou, Henan, Peoples R China

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2021

卷号：41

期号：1

起止页码：595-612

外文期刊名：JOURNAL OF INTELLIGENT & FUZZY SYSTEMS

收录：;EI(收录号：20213410805863);Scopus(收录号：2-s2.0-85113217526);WOS:【SCI-EXPANDED(收录号:WOS:000685896700035)】；

基金：This work is supported by the Human and Social Science Funding of Henan Educational Department [grant number 2020-ZDJH-022].

语种：英文

外文关键词：Green supplier selection; interval type-2 fuzzy set; lower membership function; probabilistic linguistic term set; upper membership function

摘要：The use of probabilistic linguistic term sets (PLTSs) means the process of computing with words. The existing methods computing with PLTSs mainly use symbolic model. To provide a semantic model for computing with PLTSs, we propose to represent a PLTS by using an interval type-2 fuzzy set (IT2FS). The key step is to compute the footprint of uncertainty of the IT2FS. To this aim, the upper membership function is computed by aggregating the membership functions of the linguistic terms contained in the PLTS, and the lower membership function is obtained by moving the upper membership function downward with the step being total entropy of the PLTS. The comparison rules, some operations, and an aggregation operator for PLTSs are introduced. Based on the proposed method of computing with PLTSs, a multi-criteria group decision making model is introduced. The proposed decision making model is then applied in green supplier selection problem to show its feasibility.