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Prioritized aggregation operators based on the priority degrees in multicriteria decision‐making
Author(s) -
Li Boquan,
Xu Zeshui
Publication year - 2019
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22123
Subject(s) - multiple criteria decision analysis , operator (biology) , computer science , prioritization , process (computing) , degree (music) , ranking (information retrieval) , mathematical optimization , operations research , mathematics , management science , artificial intelligence , biochemistry , chemistry , physics , repressor , transcription factor , acoustics , economics , gene , operating system
Abstract We consider the multicriteria decision‐making (MCDM) problems where there exists a prioritization relationship over the criteria. We introduce the concept of the priority degree. Then we give three kinds of prioritized aggregation operators based on the priority degrees: the prioritized averaging operator with the priority degrees, the prioritized scoring operator with the priority degrees, and the prioritized ordered weighted averaging operator with the priority degrees. Some desired properties of these prioritized aggregation operators are also investigated. The priority degree plays an important role in the prioritized MCDM problems. We also investigate how to select a proper priority degree according to the giving decision information. By using an illustrative example, we show that the prioritized aggregation operators based on the priority degrees provide the decision‐makers more choices and they are more flexible in the process of decision‐making.