The generalizations of fuzzy monoids and vague monoids
General Mathematics
2022-05-23 v1
Abstract
In this paper, we present the fuzzy monoids and vague monoids by using aggregation operators. The unit interval with a -norm or a -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 -norm and -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.
Cite
@article{arxiv.2205.09937,
title = {The generalizations of fuzzy monoids and vague monoids},
author = {Wei Li and Haohao Wang and Yuanhao Liu and Bin Yang},
journal= {arXiv preprint arXiv:2205.09937},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2205.09231