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The Quest for the Basic Fuzzy Logic

The quest for basic fuzzy logic was initiated by Petr Hájek when he proposed his basic fuzzy logic BL, complete with respect to the semantics given by all introduced and disputed the throne of the...

BA - Obecná matematika

  • 2015
    • •
  • C
    • •
  • Link
Result

Fleas and Fuzzy Logic: A Survey.

An extremly weak generalization of the t-norm based fuzzy logic is presented.

BA - Obecná matematika

  • 2003
    • •
  • D
Result

Mathematical Fuzzy Logic - State of Art 2001.

Present state of development of mathematical fuzzy logic is surveyed.

BA - Obecná matematika

  • 2003
    • •
  • Jx
Result

Commutative basic algebras and non-associative fuzzy logic

In the paper the fuzzy logic having as an equivalent algebraic semantics the variety of commutative basic algebras is presented....

BA - Obecná matematika

  • 2009
    • •
  • Jx
Result

Basic principles of fuzzy logic

Fuzzy logic is a complex mathematical method that allows solving difficult simulated problems with many inputs and output variables. Fuzzy logic is able to give logics, such as Boolean algebra. This paper ...

IN - Informatika

  • 2012
    • •
  • Jx
Result

Fuzzy Relations Equations via Basic Predicate Fuzzy Logic

The paper presents solution of fuzzy relations equations in BL-fuzzy predicate logic using purely formal syntax...

BA - Obecná matematika

  • 2002
    • •
  • C
Result

Interpreting lattice-valued set theory in fuzzy set theory

An interpretation of lattice-valued logic, defined by Titani, in basic fuzzy logic, defined by Hájek, is presented. Moreover, Titani's axioms of lattice-valued set theory are interpreted in fuzzy set theor...

BA - Obecná matematika

  • 2013
    • •
  • Jx
Result

Formal Fuzzy Logic and Its Use in Modeling of Vagueness and Computing with Words

In this paper, a brief overview of fundamental concepts of the formal fuzzy logic are presented and some of its applications are pointed out....

BA - Obecná matematika

  • 2003
    • •
  • C
Result

On Fuzzy Modal Logics S5(C)

The fuzzy variant S5(C) of the well-known modal logic S5 is studied, C being a recursively axiomatized fuzzy propositional logic extending the basic fuzzy logic BL. Three kinds of Kripke ...

BA - Obecná matematika

  • 2010
    • •
  • Jx
Result

Fuzzy Logic with Noncommutative Conjunctions.

Pseudo-BL-algebras were introduced by di Nola, Georgescu and Iorgulescu as a non-commutative generalization of BL-algebras. BL-algebras serve as general semantics of the basic fuzzy logic BL. Here we develop a corresponding...

BA - Obecná matematika

  • 2003
    • •
  • Jx
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