Applications of improved spherical fuzzy Dombi aggregation operators in decision support system

Spherical fuzzy sets are an extension of various fuzzy concepts and demonstrate fuzzy opinion using membership, abstinence, nonmembership and refusal degrees with relaxed conditions, and it is a better mathematical tool to deal with uncertain and vague information. Recently, Dombi operational laws for spherical fuzzy numbers (SPFNs) are developed for multi-attribute decision-making purpose. In this article, some limitations of the said Dombi operational laws for SPFNs are investigated as the aggregated information that came out using existing aggregation operators deviate from the range. Therefore, in this paper, we aim to present some improved Dombi operational laws for SPFNs. Further, keeping the advantages of the power aggregation operators that it takes into account the relationship of the information being aggregated, we aim to develop the spherical fuzzy Dombi power average operator, the spherical fuzzy Dombi weighted power average operator, spherical fuzzy Dombi power geometric operator, and spherical fuzzy Dombi weighted power geometric operator and their desirable properties are discussed. The main advantage of these developed Dombi power aggregation operators is that they eliminate the effect of awkward data and are more flexible due to general parameters involved in aggregation process. Moreover, based on these Dombi power aggregation operators, a novel multi-attribute group decision-making approach is instituted followed by a numerical example to show the practicality and effectiveness of the proposed approach and comparison with the existing approaches is also given.