Journal
KNOWLEDGE-BASED SYSTEMS
Volume 66, Issue -, Pages 156-165Publisher
ELSEVIER
DOI: 10.1016/j.knosys.2014.04.037
Keywords
Operational laws; Archimedean t-norm; Archimedean s-norm; 2-Tuple linguistic terms; Successive operation
Categories
Funding
- Natural Science Foundation of China [71301001, 71371011, 71071002]
- Higher School Specialized Research Fund for the Doctoral Program [20123401110001]
- Scientific Research Foundation of the Returned Overseas Chinese Scholars
- Anhui Provincial Natural Science Foundation [1308085QG127]
- Provincial Natural Science Research Project of Anhui Colleges [KJ2012A026]
- Humanity and Social Science Youth Foundation of Ministry of Education [13YJC630092]
- Humanities and social science Research Project of Department of Education of Anhui Province [SK2013B041]
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The aim of this paper is to develop some novel operational laws of linguistic 2-tuples based on the Archimedean t-norm and s-norm. The most advantage of such operational laws is that the operations are closed. The properties of such operational laws are studied, such as the commutative, associative, and distribution law of scalar-multiplication. We propose the successive weighted arithmetic and geometric operations of 2-tuple linguistic terms based on these new operational laws, which is also appropriate for cases of uncertain linguistic variables. Finally, a ranking problem of white wines is developed to illustrate the application of the proposed method. (C) 2014 Elsevier B.V. All rights reserved.
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