New generalization of fuzzy soft sets: $ (a, b) $-Fuzzy soft sets

• DOI: 10.3934/math.2023155
• Publication Date: 2022-11-15T05:14:54Z
• Authors: Tareq M. Al-shami; José Carlos R. Al...; Abdelwaheb Mhemdi
• Keywords: Soft set; Defuzzification; Scope (computer science)

<abstract><p>Many models of uncertain knowledge have been designed that combine expanded views fuzziness (expressions partial memberships) with parameterization (multiple subsethood indexed by a parameter set). The standard orthopair fuzzy soft set is very general example this successful blend initiated sets. It mapping from parameters to the family all sets (which allow for view acceptable membership and non-membership evaluations). To expand scope application theory, restriction must be calibrated same power should removed. purpose we introduce concept $ (a, b) $-fuzzy set, shortened as $-FSS. They enable us address situations impose evaluations different importances degrees, problem cannot modeled existing generalizations intuitionistic We establish fundamental arithmetic operations $-FSSs explore their main characteristics. Then define aggregation operators discuss properties relationships between them. Finally, help suitably defined scores accuracies design multi-criteria decision-making strategy operates in novel framework. also analyze endorse validity purposes.</p></abstract>