THEORY OF Γ-FUZZY TRUTH DEGREE RELATIVE TO FINITE THEORY IN LOGIC SYSTEM Rn

被引：0
|
作者：
Xu, Ge Ni [1 ]
Li, Yong Ming [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
QUANTITATIVE LOGIC AND SOFT COMPUTING | 2012年 / 5卷
关键词：
Gamma-fuzzy truth degree; finite theory; Gamma-pseudo-metric; approximate reasoning; PROPOSITIONS;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In order to establish a degree of reasoning mechanism in given specific conditions and provide a possible framework for approximate reasoning in n-valued propositional logic, the present paper introduces the concept of Gamma-fuzzy truth degree relative to finite theory in logical system R-n by combining the theory of truth degree in quantitative logic with the theory of Sigma-alpha-tautorogies in fuzzy logic and investigates its some properties, and a Gamma-similarity degree and intrinsically a Gamma-pseudo-metric between two formulas are defined therefrom, which offer a possible framework for developing a Gamma-approximate reasoning theory relative to finite theory in logical system R-n.
引用
收藏
页码：158 / 164
页数：7
相关论文
共 50 条
  • [41] Towards a specification theory for fuzzy modal logic
    Jain, Manisha
    Gomes, Leandro
    Madeira, Alexandre
    Barbosa, Luis S.
    2021 INTERNATIONAL SYMPOSIUM ON THEORETICAL ASPECTS OF SOFTWARE ENGINEERING (TASE 2021), 2021, : 175 - 182
  • [42] Fuzzy horn logic I -: proof theory
    Belohlávek, R
    Vychodil, V
    ARCHIVE FOR MATHEMATICAL LOGIC, 2006, 45 (01) : 3 - 51
  • [43] Linguistic fuzzy-logic game theory
    Arfi, B
    JOURNAL OF CONFLICT RESOLUTION, 2006, 50 (01) : 28 - 57
  • [44] Fuzzy logic control theory in clinical anesthesia
    Tian, Ye
    Chu, Zheng
    Ma, Gang
    EXPERT SYSTEMS, 2022, 39 (03)
  • [45] Nonsingleton fuzzy logic systems: Theory and application
    Mouzouris, GC
    Mendel, JM
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1997, 5 (01) : 56 - 71
  • [46] Discovering patterns based on fuzzy logic theory
    Gerardo, Bobby D.
    Lee, Jaewan
    Joo, Su-Chong
    COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2006, PT 4, 2006, 3983 : 899 - 908
  • [47] Foundations of fuzzy set theory and fuzzy logic: A historical overview
    Klir, GJ
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2001, 30 (02) : 91 - 132
  • [48] Axiomatic Theory of Complex Fuzzy Logic and Complex Fuzzy Classes
    Tamir, D. E.
    Kandel, A.
    INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, 2011, 6 (03) : 562 - 576
  • [49] THEORY OF FINITE DEGREE OF FREEDOM AND STRUCTURE OF NUCLEONS
    TATI, T
    PROGRESS OF THEORETICAL PHYSICS, 1973, (54): : 40 - 50
  • [50] THEORY OF FINITE DEGREE OF FREEDOM AND STRUCTURE OF NUCLEONS
    TATI, T
    SUPPLEMENT OF THE PROGRESS OF THEORETICAL PHYSICS, 1973, (54): : 40 - 50
12345