An algebraic analysis on exploring q-Rung orthopair multi-fuzzy sets
نویسندگان
1 Department of Mathematics, Alagappa University,Karaikudi, Tamilnadu India.
2 Department of Mathematics, Alagappa University,Karaikudi, Tamilnadu India.
3 Department of Mathematics, Alagappa University,Karaikudi, Tamilnadu India.
4 Department of Mathematics, Alagappa University,Karaikudi, Tamilnadu India.
doi
10.22105/jfea.2023.408513.1302چکیده
The q-Rung Orthopair Fuzzy set (qROF-set) environment is a contemporary tool for handling uncertainty and vagueness in decision-making scenarios. In this paper, we delve into the algebraic examination of q-rung orthopair Multi-Fuzzy Sets (MFSs) and explore their operational laws. The novel q-Rung Orthopair Multi-Fuzzy subgroup (qROMF-subgroup) is the extension of Intuitionistic Multi-Fuzzy Subgroup (IMF-subgroup) to encompass the domain of groups. The properties of the proposed fuzzy subgroup are examined in detail, and the paper concludes by defining two additional concepts: qROMF-coset and qROMF-normal subgroup. Finally, we present a comparison of the newly introduced model with existing approaches to validate its superior performance.
