Many-valued partial orders in a closed monoidal category

被引：2
|
作者：
Demirci, Mustafa [1 ]
机构：
[1] Akdeniz Univ, Fac Sci, Dept Math, TR-07058 Antalya, Turkiye
来源：
FUZZY SETS AND SYSTEMS | 2023年 / 468卷
关键词：
L-set; Lattice-valued partial order; Fuzzy partial order; Many-valued partial order; Categorical many-valued partial order; Quantale-valued partial order; Monoidal relation system; Partially ordered monoidal relation system; EQUIVALENCE-RELATIONS; VAGUE LATTICES; FUZZY; REPRESENTATION;
D O I：
10.1016/j.fss.2023.108591
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper introduces partially ordered Q-monoidal relation systems on a category C endowed with a closed monoidal structure, and therewith explores a categorical theory of many-valued partial orders in C. For a fixed C-object Q and a partially ordered Q-monoidal relation system ϒ on C, the notion of a many-valued preordered (resp. many-valued partially ordered) C-object is formulated as a ϒ-preordered (resp. ϒ-partially ordered) C-object. Furthermore, the category of ϒ-preordered (resp. ϒ-partially ordered) C-objects is constructed and applied to quantale-valued preorders (resp. partial orders) on ordinary sets as well as on & COPY; 2023 Elsevier B.V. All rights reserved.
引用
收藏
页数：35
相关论文
共 50 条
  • [41] MANY-VALUED COMPUTATIONAL LOGICS
    STACHNIAK, Z
    JOURNAL OF PHILOSOPHICAL LOGIC, 1989, 18 (03) : 257 - 274
  • [42] Many-valued equalities and their representations
    Höhle, U
    LOGICAL, ALGEBRAIC, ANALYTIC, AND PROBABILISTIC ASPECTS OF TRIANGULAR NORMS, 2005, : 301 - 319
  • [43] Many-Valued MinSAT Solving
    Argelich, Josep
    Li, Chu Min
    Manya, Felip
    Zhu, Zhu
    2014 IEEE 44TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2014), 2014, : 32 - 37
  • [44] FUNCTIONAL MANY-VALUED RELATIONS
    Della Stella, M. E.
    Guido, C.
    MATHEMATICA SLOVACA, 2015, 65 (04) : 891 - 921
  • [45] Complete Many-Valued Lattices
    Eklund, Patrik
    Gutierrez Garcia, Javier
    Hoehle, Ulrich
    Kortelainen, Jari
    2017 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2017,
  • [46] COMPLETENESS TEST FOR PARTIAL FUNCTIONS OF LOGIC ALGEBRA AND MANY-VALUED LOGICS
    FREIVALD, RV
    DOKLADY AKADEMII NAUK SSSR, 1966, 167 (06): : 1249 - &
  • [47] MANY-VALUED LOGICS AND THEIR ALGEBRAS
    ANSHAKOV, OM
    RYCHKOV, SV
    RUSSIAN MATHEMATICAL SURVEYS, 1990, 45 (06) : 139 - 140
  • [48] On many-valued Newtonian potentials
    Dixon, AC
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1904, 1 : 415 - 436
  • [49] ON MANY-VALUED LUKASIEWICZ ALGEBRAS
    SICOE, CO
    PROCEEDINGS OF THE JAPAN ACADEMY, 1967, 43 (08): : 725 - &
  • [50] Many-valued relation algebras
    Andrei Popescu
    algebra universalis, 2005, 53 : 73 - 108
12345