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Descriptions in Full Fuzzy Type Theory

The fuzzy type theory (FTT) is extended by the description operator whose interpretation is a function which assigns a fuzzy set an element and is thus similar to the defuzzification operation introduced in fuz...

BA - Obecná matematika

  • 2003
  • Jx
Result

From Fuzzy Type Theory to Fuzzy Intensional Logic

In this paper, the concept of fuzzy intensional logic is elaborated based on fuzzy type theory recently presented by the author....

BA - Obecná matematika

  • 2003
  • D
Result

Towards fuzzy type theory.

The formal type theory is generalized to fuzzy one. The structure of truth values is assumed to be the IMTL-algebra. Some properties of theories of fuzzy type theory are demonstrated and ...

BA - Obecná matematika

  • 2003
  • D
Result

Fuzzy type theory as higher order fuzzy logic

In the paper, logical axioms, inference rules, semantics, and some specific properties including the completeness theorems of zour kinds of fuzzy type theory are presented. This theory is a higher order fuzzy

BA - Obecná matematika

  • 2005
  • D
Result

Descriptions in the full fuzzy type theory.

In this paper, the fuzzy type theory (FTT) is extended by the description operator. Its interpretation is similar to the defuzzification operation introduced in fuzzy set theory. The full fuzzy

BA - Obecná matematika

  • 2003
  • Jx
Result

Introduction to modelling of natural deduction based on fuzzy type theory

that is based on fuzzy type theory. First the theory for the topic is explained, one of the classical logic systems is chosen (Predicate logic) then introduction to fuzzy logic isgiven and then fuzzy<...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2015
  • D
Result

Intermediate quantifiers in partial fuzzy type theory

In this paper, we extend the partial fuzzy type theory (pFTT) by additional special connectives and prove some of their properties. Then we introduce the theory of intermediate quantifiers initially developed in th...

Pure mathematics

  • 2021
  • Jimp
  • Link
Result

Higher Order Fuzzy Logic

In the lecture, higher order fuzzy logic (fuzzy type theory) was presented.

BA - Obecná matematika

  • 2011
  • D
Result

Logical Structure of Fuzzy IF-THEN Rules

This paper provides a logical basis for manipulation with fuzzy IF-THEN rules. The theoretical apparatus is based on formal fuzzy type theory....

BA - Obecná matematika

  • 2006
  • Jx
Result

Principal Fuzzy Type Theories for Fuzzy Logic in Broader Sense

called EQ-algebra in which the basic operation is that of fuzzy equality. Then we introduce axiomatics of a new core fuzzy type theory -IEQ-FTT- and demonstrate how three principal fuzzy type

BA - Obecná matematika

  • 2008
  • D
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