Categories of fuzzy sets and weak topos

被引：8
|
作者：
Yuan, XH [1 ]
Li, HX
Lee, ES
机构：
[1] Liaoning Normal Univ, Dept Math, Dalian 116029, Peoples R China
[2] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
[3] Kansas State Univ, Dept Ind Engn, Manhattan, KS 66506 USA
来源：
FUZZY SETS AND SYSTEMS | 2002年 / 127卷 / 03期
关键词：
category; weak topos;
D O I：
10.1016/S0165-0114(01)00119-1
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, definitions of middle object in a category and concept of weak topos are given, A weak topos is a Cartesian closed category with a middle object. It is proved that category of functors from a small category to category Fuz of fuzzy sets is a weak topos. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：291 / 297
页数：7
相关论文
共 50 条
  • [21] Weak laws of large numbers for fuzzy random sets
    Taylor, RL
    Seymour, L
    Chen, YP
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (02) : 1245 - 1256
  • [22] ON THE WEAK NATURAL NUMBER OBJECT OF THE WEAK TOPOS FUZ
    Kim, Ig Sung
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2010, 17 (02): : 137 - 143
  • [23] Weak Form of Fuzzy Open Sets and Their Related Continuity
    N.Gowrisankar
    N.Rajesh
    模糊系统与数学, 2010, 24 (03) : 86 - 91
  • [24] Up with Categories, Down with Sets; Out with Categories, In with Sets!
    Kirby, Jonathan
    PHILOSOPHIA MATHEMATICA, 2024, 32 (02) : 216 - 227
  • [25] Inclusion of the Intuitionistic Fuzzy Sets Based on Some Weak Intuitionistic Fuzzy Implication
    Dworniczak, Piotr
    CYBERNETICS AND INFORMATION TECHNOLOGIES, 2011, 11 (03) : 12 - 22
  • [26] ON THE AXIOM OF CHOICE OF WEAK TOPOS Fuz
    Kim, Ig Sung
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2006, 21 (02): : 211 - 217
  • [27] Cyclic structures and the topos of simplicial sets
    Connes, Alain
    Consani, Caterina
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (04) : 1211 - 1235
  • [28] Three Categories of Set-Valued Generalizations From Fuzzy Sets to Interval-Valued and Atanassov Intuitionistic Fuzzy Sets
    Couso, Ines
    Bustince, Humberto
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (05) : 3112 - 3121
  • [29] Novel Categories of Spaces in the Frame of Generalized Fuzzy Topologies via Fuzzy gμ-Closed Sets
    Saleh, Salem
    Birkea, Fathea M. Osman
    Al-shami, Tareq M.
    Arar, Murad
    Omran, M.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
  • [30] Development of the fuzzy sets theory: weak operations and extension principles
    Katsyv, S.
    Kukharchuk, V.
    Kondratenko, N.
    Kucheruk, V.
    Kulakov, P.
    Karabekova, D.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2023, 111 (03): : 59 - 71
12345