数学研究及应用2024，Vol.44Issue(3) ：285-290.DOI:10.3770/j.issn:2095-2651.2024.03.001

Residual Operator of Type-2 Triangular Norms on Convex Normal Upper Semi-Continuous Fuzzy Truth Values

Xinxing WU Shuangfeng LUO Zhiyi ZHU Lidong WANG
数学研究及应用2024，Vol.44Issue(3) ：285-290.DOI:10.3770/j.issn:2095-2651.2024.03.001
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  • NETL
  • NSTL
  • 万方数据

Residual Operator of Type-2 Triangular Norms on Convex Normal Upper Semi-Continuous Fuzzy Truth Values

Xinxing WU 1Shuangfeng LUO 2Zhiyi ZHU 2Lidong WANG3
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作者信息

  • 1. School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guizhou 550025,P.R.China
  • 2. School of Sciences,Southwest Petroleum University,Sichuan 610500,P.R.China
  • 3. Zhuhai College of Science and Technology,Guangdong 519041,P.R.China
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Abstract

Based on the residual implication of continuous triangular norms,we obtain the expression of residual operator for extended operators(type-2 triangular norms)of continuous triangular norms on convex normal upper semi-continuous fuzzy truth values,answering an open problem in[D.LI,Inf.Sci.,2015,317:259-277].

Key words

type-2 fuzzy set/triangular norm(t-norm)/residual operator

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基金项目

Natural Science Foundation of Sichuan Province(2022NSFSC1821)

National Natural Science Foundation of China(12261018)

Universities Key Laboratory of Mathematical Modeling and Data Mining in Guizhou Province(2023013)

High Level Innovative Talent Training Plan Project of Guizhou Province(GCC[2023]006)

Key Natural Science Foundation of Universities in Guangdong Province(2019KZDXM027)

出版年

2024
数学研究及应用
大连理工大学

数学研究及应用

CSCD
影响因子：0.094
ISSN：2095-2651
参考文献量20
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