2022/05/20 by Wei Li, Haohao Wang, Li, Wei +5
Computer Science · Decision Sciences · #FOS: Mathematics #Fuzzy Logic and Control Systems #General Mathematics (math.GM) #Multi-Criteria Decision Making
paper · pdf · doi:10.48550/arxiv.2205.09937
openalex publication_date 2022/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we present the fuzzy monoids and vague monoids by using aggregation operators. The unit interval with a t-norm or a t-conorm is a special monoid, so we mainly talk about fuzzy subsets of monoids. Firstly, the classification of fuzzy sets based on some special aggregation operators is discussed. At the same time, we give two basic propositions about submonoids of t-norm and t-conorm. The fuzzification by uninorm and nullnorm are denoted and some properties can be drawn. Next, we briefly present fuzzy subsets on lattice. Finally, the vague monoids on aggregation operators are redefined and further consider the special cases of uninorms and nullnorms.