A note on Zadeh's extensions

被引：76
|
作者：
Román-Flores, H
Barros, LC
Bassanezi, RC
机构：
[1] Univ Tarapaca, Dept Matemat, Arica, Chile
[2] UNICAMP, IMECC, BR-13081970 Campinas, SP, Brazil
来源：
FUZZY SETS AND SYSTEMS | 2001年 / 117卷 / 03期
关键词：
Zadeh's extensions; fuzzy compact sets; continuity;
D O I：
10.1016/S0165-0114(98)00408-4
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let f: R-n --> R-n and (f) over cap: F(R-n) --> F(R)(n) be Zadeh's extension of f to the space of fuzzy compact sets F(R-n). The aim of this paper is to show that if f is continuous, then (f) over cap : (F(R-n), D) --> (F(R-n), D) is also continuous, D being the supremum over Hausdorff distances between their corresponding level sets. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：327 / 331
页数：5
相关论文
共 50 条
  • [41] A note on the stability of Jordan triple higher ring derivations
    Roh, Jaiok
    Jung, Yong-Soo
    Chang, Ick-Soon
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (12) : 1975 - 1986
  • [42] A Note on Derivations on the Algebra of Operators in Hilbert C*-Modules
    Moghadam, Mostafa Kafi
    Miri, M.
    Janfada, A. R.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 1167 - 1175
  • [43] A NOTE ON THE UNIQUENESS OF M-ESTIMATORS IN ROBUST REGRESSION
    CRISP, A
    BURRIDGE, J
    CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1993, 21 (02): : 205 - 208
  • [44] Note on IR-closed and AIR-sets
    Renukadevi, V.
    ACTA MATHEMATICA HUNGARICA, 2009, 122 (04) : 329 - 338
  • [45] A note on defuzzification of type-2 fuzzy intervals
    Roman-Flores, H.
    Chalco-Cano, Y.
    Figueroa-Garcia, J. C.
    FUZZY SETS AND SYSTEMS, 2020, 399 : 133 - 145
  • [46] A Note on the Weighted Log Canonical Threshold of Toric Plurisubharmonic Functions
    Quy, Hoang Nhat
    UKRAINIAN MATHEMATICAL JOURNAL, 2023, 75 (2) : 328 - 334
  • [47] A note on the smallest semicopula-based universal integral and an application
    Luan, Tran Nhat
    Hoang, Do Huy
    Thuyet, Tran Minh
    Phuoc, Huynh Ngoc
    Dung, Kieu Huu
    FUZZY SETS AND SYSTEMS, 2022, 430 : 88 - 101
  • [48] The calicioid lichens and fungi of the Acadian Forest Ecoregion of northeastern North America, I. New species and range extensions
    Selva, Steven B.
    BRYOLOGIST, 2013, 116 (03) : 248 - 256
  • [49] A Note on the Hyers-Ulam Stability Constants of Closed Linear Operators
    Huang, Qianglian
    Zhu, Lanping
    Wu, Bo
    FILOMAT, 2015, 29 (04) : 909 - 915
  • [50] A note on solution lower semicontinuity for parametric generalized vector equilibrium problems
    Peng, Zai Yun
    Lin, Zhi
    Yu, Kai Zhi
    Wang, Da Cheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
12345