T-spherical uncertain linguistic MARCOS method based on generalized distance and Heronian mean for multi-attribute group decision-making with unknown weight information

Abstract The T-spherical uncertain linguistic (TSUL) sets (TSULSs) integrated by fuzzy and variables are introduced in this article. This new concept is not only a generalized form but also can integrate decision-makers’ quantitative evaluation ideas qualitative information. TSULSs serve as reliable comprehensive tool for describing complex decision paper focuses on an extended MARCOS (Measurement of Alternatives Ranking according to the Compromise Solution) method handle TSUL multi-attribute group decision-making problems where weight information completely unknown. First, we define, respectively, operation rules distance measure numbers (TSULNs). Then, develop two kinds aggregation operators TSULNs, one kind operator with independent attributes weighted averaging geometric (TSULWA TSULWG) operators, other Heronian mean (TSULHM TSULWHM) considering interrelationship. Their related properties discussed series reduced forms presented. Subsequently, TSUL-MARCOS-based model combining proposed constructed. Finally, real case investment community group-buying platform presented illustration. We further test rationality superiorities through sensitivity analysis comparative study.