Isomorphic triangular subnorms with continuous additive generators

doi:10.1016/j.fss.2024.109136

2025-01-01

PRE

Jie Sun *

刘

刘晓光 (Xiaoguang Liu)

DOI：10.1016/j.fss.2024.109136

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摘要

En 中文

The additive generators play an important role in the construction of t-(sub)norms. Distinct to t-norms, the additive generators of t-subnorms need not be strictly decreasing and the value at 1 need not be 0. This paper gives the sufficient and necessary conditions such that two t-subnorms, generated by continuous additive generators, are isomorphic.

Keyword:

Triangular norm

Triangular subnorm

Additive generator

Isomorphism

期刊

Fuzzy Sets and Systems

IF:

2.7

论文数:

7.6K

被引数:

1.5W

机构

Southwest Minzu University

学者数:

3.2K

论文数: 2.0K

被引数: 2.9K

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