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Some average aggregation operators based on spherical fuzzy soft sets and their applications in multi-criteria decision making
oleh: Jabbar Ahmmad, Tahir Mahmood, Ronnason Chinram, Aiyared Iampan
Format: | Article |
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Diterbitkan: | AIMS Press 2021-05-01 |
Deskripsi
Spherical fuzzy soft sets $\left(SF{{S}_{ft}}Ss \right)$ have its importance in a situation where human opinion is not only restricted to yes or no but some kind of abstinence or refusal aspects are also involved. Moreover, the notion of $SF{{S}_{ft}}S$ is free from all that complexities which suffers the contemporary theories because parameterization toll is a more important character of $SF{{S}_{ft}}S$. Also, note that aggregation operators are very effective apparatus to convert the overall information into a single value which further helps in decision-making problems. Due to these reasons, based on a spherical fuzzy soft set $\left(SF{{S}_{ft}}S \right)$, we have first introduced basic operational laws and then based on these introduced operational laws, some new notions like spherical fuzzy soft weighted average $\left(SF{{S}_{ft}}WA \right)$ aggregation operator, spherical fuzzy soft ordered weighted average $\left(SF{{S}_{ft}}OWA \right)$ aggregation operator and spherical fuzzy soft hybrid average $\left(SF{{S}_{ft}}HA \right)$ aggregation operators are introduced. Furthermore, the properties of these aggregation operators are discussed in detail. An algorithm is established in the environment of $SF{{S}_{ft}}S$ and a numerical example are given to show the authenticity of the introduced work. Moreover, a comparative study is established with other existing methods to show the validity and superiority of the established work.