Intuitionistic fuzzy monotonic DOWA operators

Author:

Xie Zhichun1,Ma Rong2,Li Deqing1,Wan Qianhui2,Zeng Wenyi2,Yu Xianchuan2,Xu Zeshui3

Affiliation:

1. School of Data Science and Intelligent Engineering, Xiamen Institute of Technology, Xiamen 361021, China

2. School of Artificial Intelligence, Beijing Normal University, Beijing 100875, China

3. Business School, Sichuan University, Wuhou District, Chengdu 610064, China

Abstract

<abstract><p>A new measure for intuitionistic fuzzy numbers (IFNs) is proposed to reflect the magnitude of IFNs, and a novel ranking approach for IFNs is presented based on this measure. Furthermore, the theoretical basis of the ranking method is investigated, and several intuitionistic fuzzy monotonic dependent ordered weighted averaging (IFMDOWA) operators are developed, such as the conservative IFMDOWA (COV-IFMDOWA) operator, positive intuitionistic fuzzy monotonic DOWA (POS-IFMDOWA) operator, conservative intuitionistic fuzzy hybrid monotonic dependent order weighted averaging (COV-IFHMDOWA) operator, and positive intuitionistic fuzzy hybrid monotonic dependent order weighted averaging (POS-IFHMDOWA) operator. Finally, a numerical example is given to illustrate the flexibility of our proposed monotonic dependent order weighted averaging operators in a practical decision making process.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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