文献类型：期刊文献

英文题名：Interval-Valued Pythagorean Normal Fuzzy Information Aggregation Operators for Multi-Attribute Decision Making

作者：Yang, Zaoli[1];Chang, Jinping[2]

第一作者：Yang, Zaoli

通讯作者：Chang, JP[1]

机构：[1]Beijing Univ Technol, Coll Econ & Management, Beijing 100124, Peoples R China;[2]Beijing Union Univ, Coll Management, Beijing 100101, Peoples R China

第一机构：Beijing Univ Technol, Coll Econ & Management, Beijing 100124, Peoples R China

通讯机构：[1]corresponding author), Beijing Union Univ, Coll Management, Beijing 100101, Peoples R China.|[1141755]北京联合大学管理学院;[11417]北京联合大学;

年份：2020

卷号：8

起止页码：51295-51314

外文期刊名：IEEE ACCESS

收录：;EI(收录号：20201408372529);Scopus(收录号：2-s2.0-85082533894);WOS:【SCI-EXPANDED(收录号:WOS:000524748500011)】；

基金：This work was supported in part by the Natural Science Foundation of China under Grant 71704007, in part by the Beijing Social Science Foundation of China under Grant 18GLC082, and in part by the University Nursing Program for Young Scholars With Creative Talents in Heilongjiang Province under Grant 2017103.

语种：英文

外文关键词：Fuzzy sets; Decision making; Linguistics; Gaussian distribution; Licenses; Complexity theory; Quality function deployment; Normal fuzzy number; interval-valued Pythagorean normal fuzzy; information aggregation operators; multi-attribute decision-making

摘要：The interval-valued Pythagorean fuzzy (IVPF) sets, describing the membership and non-membership degrees from interval values, can address uncertain information, while the normal fuzzy number (NFN) can depict normal distribution information in anthropogenic activity and natural environment. By combining the advantages of both operations, in this study, we proposed the interval-valued Pythagorean normal fuzzy (IVPNF) sets by introducing the NFN into IVPF environment. Firstly, we defined the conception, the operational laws, score function, accuracy function of IVPNF sets. Secondly, we presented four information aggregation operators to aggregate IVPNF information, including the IVPNF weighted averaging (IVPNFWA) operator, IVPNF weighted geometric (IVPNFWG) operator, the generalized IVPNFWA operator, and the generalized IVPNFWG operator. In addition, we analyzed some desirable properties of monotonicity, commutativity, and idempotency for the proposed four operators. Finally, a numerical example on multi-attribute decision-making problem is given to verify the practicality of the proposed operators, and the comparative and sensitive analysis are used to show the effectiveness and flexibility of our proposed approach.