Journal
APPLIED MATHEMATICS & INFORMATION SCIENCES
Volume 7, Issue 3, Pages 955-961Publisher
NATURAL SCIENCES PUBLISHING CORP-NSP
DOI: 10.12785/amis/070313
Keywords
aggregation operator; intuitionistic fuzzy set; Achimedean t-norm; OWA operator
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Funding
- Funds for Creative Research Groups of China [71221061]
- projects of major international cooperation NSFC [71210003]
- National Natural Science Foundation of China [70801064, 70801012, 71271217]
- Program for New Century Excellent Talents in University of China [NCET-12-0541]
- Hunan Provincial Natural Science Foundation of China [11JJ3088]
- Central South University 985 Project Resource-conserving and Environment-friendly Society Research Center of China [ZNLX1106]
- Fundamental Research Funds for the Central Universities [N110406004]
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This paper presents a critical analysis of conventional operations on intuitionistic fuzzy values (IFVs), and some limitations of the conventional aggregation operator on IFVs are analyzed in detail. In order to overcome these limitations, according to new operation laws on IFVs based on Achimedean t-norm and t-conorm, we propose a new quasi-intuitionistic fuzzy OWA (QIFOWA) operator. Some corresponding specific QIFOWA operators are given to show a consistent result. Our revisions will undoubtedly result in the improvement of both the theoretic development and the practical application in aggregation operator for decision making problems.
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