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This paper presents the concept of generalized intuitionistic fuzzy set (GIFS) and optimization technique under generalized intuitionistic fuzzy environment. The idea of GIFS was introduced by Tapas K. Modal et al. Here, another new GIFS has been introduced. Solution technique of optimization problem involving both types of GIFS has been discussed. For the sake of simplicity alone, the same problem, as studied by Angelov, who first well developed the intuitionistic fuzzy optimization technique in 1997, is taken. Conclusions are obtained finally. General Terms Fuzzy optimization, generalized intuitionistic fuzzy set.

Optimization under Generalized Intuitionistic Fuzzy Environment