The category of soft sets

被引：8
|
作者：
Borzooei, R. A. [1 ]
Mobini, M. [1 ]
Ebrahimi, M. M. [1 ]
机构：
[1] Shahid Beheshti Univ, Dept Math, GC, Tehran, Iran
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 28卷 / 01期
关键词：
Soft sets; category; monomorphism; epimorphism;
D O I：
10.3233/IFS-141286
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Molodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. In this paper, we consider some category-theoretic properties of the category of all soft sets, with morphisms between them. We also characterize several kinds of epimorphisms and monomorphisms.
引用
收藏
页码：157 / 167
页数：11
相关论文
共 50 条
  • [1] Category of soft sets
    Zahiri, O.
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2013, 40 (02): : 154 - 166
  • [2] A short note on the category of soft sets
    Mobini, M.
    Ahn, S. S.
    Borzooei, R. A.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2022, 43 (04) : 5215 - 5219
  • [3] STUDY OF SOFT SETS CATEGORY AND IT'S PROPERTIES
    Liu, Zengliang
    Yuan, Xuehai
    Zhang, Yuhong
    Wang, Ye
    2012 IEEE 2nd International Conference on Cloud Computing and Intelligent Systems (CCIS) Vols 1-3, 2012, : 1377 - 1380
  • [4] Some Classes of Soft Functions Defined by Soft Open Sets Modulo Soft Sets of the First Category
    Ameen, Zanyar A.
    Alqahtani, Mesfer H.
    MATHEMATICS, 2023, 11 (20)
  • [5] Baire Category Soft Sets and Their Symmetric Local Properties
    Ameen, Zanyar A.
    Alqahtani, Mesfer H.
    SYMMETRY-BASEL, 2023, 15 (10):
  • [6] A note on soft sets, rough soft sets and fuzzy soft sets
    Ali, Muhammad Irfan
    APPLIED SOFT COMPUTING, 2011, 11 (04) : 3329 - 3332
  • [7] On the category of rough sets
    R. A. Borzooei
    A. A. Estaji
    M. Mobini
    Soft Computing, 2017, 21 : 2201 - 2214
  • [8] On the category of rough sets
    Borzooei, R. A.
    Estaji, A. A.
    Mobini, M.
    SOFT COMPUTING, 2017, 21 (09) : 2201 - 2214
  • [9] CATEGORY VITALI SETS
    Lahiri, B. K.
    Lahiri, Indrajit
    ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2008, 54 (02): : 445 - 454
  • [10] On the category of mθ sets
    Tsimi, Jean Armand
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2023, 26 (01): : 11 - 28
12345