Novel intuitionistic fuzzy decision making method based on an improved operation laws and its application

In this paper, some series of averaging aggregation operators have been presented under the intuitionistic fuzzy environment by considering the degrees of hesitation between the membership functions. For it, firstly, shortcoming of some existing aggregation operators has been identified and then new operational laws have been proposed for overcoming these shortcoming. Based on these operations, weighted, ordered weighted and hybrid averaging aggregation operators have been proposed by using Einstein operational laws. Furthermore, some desirable properties such as idempotency, boundedness, homogeneity etc. are studied. Finally, a multi-criteria decision making (MCDM) method has been presented based on proposed operators and compare their performance with the existing operators.

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