期刊
JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS
卷 22, 期 4, 页码 593-603出版社
SYSTEMS ENGINEERING & ELECTRONICS, EDITORIAL DEPT
DOI: 10.3969/j.issn.1004-4132.2011.04.007
关键词
linguistic aggregation function; linguistic ordered weighted averaging (OWA) operator; generalized mean; linguistic decision making; strategic decision making; uncertainty
类别
资金
- Spanish Ministry of Education [JC2009-00189]
- Spanish Ministry of Foreign Affairs [A/023879/09]
- National Natural Science Foundation of China [71071002]
- Academic Innovation Team of Anhui University [KJTD001B, SKTD007B]
A generalization of the linguistic aggregation functions (or operators) is presented by using generalized and quasi-arithmetic means. Firstly, the linguistic weighted generalized mean (LWGM) and the linguistic generalized ordered weighted averaging (LGOWA) operator are introduced. These aggregation functions use linguistic information and generalized means in the weighted average (WA) and in the ordered weighted averaging (OWA) function. They are very useful for uncertain situations where the available information cannot be assessed with numerical values but it is possible to use linguistic assessments. These aggregation operators generalize a wide range of aggregation operators that use linguistic information such as the linguistic generalized mean (LGM), the linguistic OWA (LOWA) operator and the linguistic ordered weighted quadratic averaging (LOWQA) operator. We also introduce a further generalization by using quasi-arithmetic means instead of generalized means obtaining the quasi-LWA and the quasi-LOWA operator. Finally, we develop an application of the new approach where we analyze a decision making problem regarding the selection of strategies.
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