Abstract
• The q-rung orthopair fuzzy Hamacher generalized Shapley Choquet integral (q-ROFHGSCI) operator is proposed as a tool for MADM. • The proposed q-ROFHSCI operator based on generalized Shapley function is a better alternative to existing Choquet integral operator with respect to fuzzy measure as it can reduce the complexity of solving the fuzzy measure on a large set of attributes. • A MADM model based on the q-ROFHGSCI operator is developed to deal with interrelationship among attributes under the q-rung orthopair fuzzy environment. The q -rung orthopair fuzzy sets ( q -ROFs) which are eminent extensions of the intuitionistic fuzzy sets and the pythagorean fuzzy sets can be considered as an efficient tool for modeling real life decision making problems involving uncertainty of information. In this paper, in order to reflect the correlation among the attributes of real decision making problems, the Choquet integral operator is extended to develop the q -rung orthopair fuzzy Hamacher generalized Shapley Choquet integral ( q -ROFHGSCI) operator under the q -rung orthopair fuzzy environment. Furthermore, some important properties and special cases of the q -ROFHGSCI operator are discussed. An approach for multiattribute decision making based on q -ROFHGSCI operator is developed. Finally, a numerical example is provided to illustrate the proposed approach.
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