Abstract
The given study intends to propose a new approach, named intuitionistic fuzzy TOPSIS, to solve a non-linear multi-objective intuitionistic fuzzy problem, whose application is not confined to only one type but has a wider scope. Considering the distance of positive and negative ideal solutions from the optimal values directly in terms of triangular intuitionistic fuzzy numbers makes the study unique. Along with this, a new technique, based upon barycentric coordinates of a triangle, to defuzzify triangular intuitionistic fuzzy numbers has been proposed. Two different types of substantive illustrations viz., non-linear multi-objective intuitionistic fuzzy transportation problem and non-linear multi-objective intuitionistic fuzzy manufacturing problem, are solved and compared with the paradigmatic approaches existing in the literature.
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