Applied Mathematics & Information Sciences

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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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