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Isomorphic triangular subnorms with continuous additive generators

delete2025-01-01
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PRE
AI
J
Jie Sun *
刘
刘晓光 (Xiaoguang Liu)
DOI:10.1016/j.fss.2024.109136delete
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Abstract

Abstract

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.
Keywords:
Triangular norm
Triangular subnorm
Additive generator
Isomorphism

Journal

Fuzzy Sets and Systems cover
Fuzzy Sets and Systems
IF:
2.7
Papers:
7.6K
Citations:
1.5W

Organization

S
Southwest Minzu University
Scholars:
3.2K
Papers: 2.0K
Citations: 2.9K
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