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6 117 (0,139s)

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Systems of Fuzzy Relation Equations in a Space with Fuzzy Preorder

We established new solvability criteria for systems of fuzzy relation equations of two different types. The new criteria are based on the assumption that fuzzy sets on the left-hand side of a system are upper sets of a respective *-...

BA - Obecná matematika

  • 2009
  • D
Result

Autoassociative Fuzzy Implicative Memory on the Platform of Fuzzy Preorder

We propose a new theoretical justification of implicative fuzzy associative memory. It is based on the notion of a fuzzy preorder operator. Moreover, we give a necessary and sufficient condition on input data that guarantee...

IN - Informatika

  • 2015
  • D
Result

Note on Intuitionistic L-fuzzy rough sets, intuitionistic L-fuzzy preorders and intuitionistic L-fuzzy topologies

In this note, we show that, in the paper [ Zhong Y, Yan CH, Intuitionistic $L$-fuzzy rough sets, intuitionistic $L$-fuzzy preorders and intuitionistic $L$-fuzzy topologies, {em Fuzzy Information and Engine...

Mathematics

  • 2021
  • Jimp
  • Link
Result

Valverde-Style Representation Results in a Graded Framework

This paper generalizes the well-known representations of fuzzy preorders and similarities according to Valverde to the graded framework of Fuzzy Class Theory (FCT). The results yield a generalized construction of fuzzy<...

BA - Obecná matematika

  • 2007
  • D
Result

At-least At-most Modifications in a Space with Fuzzy Preoreder

We utilize the theory of solvability of systems of fuzzy relation equations in a space with fuzzy preorder and propose a justification of solvability of the systems that are modified with ``at least'' (``at most'') quantifi...

BA - Obecná matematika

  • 2013
  • D
Result

A New Model of a Fuzzy Associative Memory

We propose a new theory of implicative fuzzy associative memory. This memory is modeled by a fuzzy preorder relation. We give a necessary and sufficient condition on input data that guarantees an effective composition of a ...

BA - Obecná matematika

  • 2015
  • D
Result

On a Graded Modal Logic Approach to Reason with Fuzzy Preferences

In this paper we first consider the problem of extending a fuzzy preference relation on a set, represented by a fuzzy preorder, to a fuzzy preference relation on subsets, and we characterise different possibilities...

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

  • 2017
  • D
  • Link
Result

Relations in Fuzzy Class Theory: Initial Steps.

representative results, with a strong emphasis on fuzzy preorders and fuzzy equivalenceThis paper studies fuzzy relations in the graded framework of Fuzzy Class of binary fuzzy relations in the f...

BA - Obecná matematika

  • 2008
  • Jx
Result

Spaces with fuzzy partitions and fuzzy transform

Four different categories are introduced which could serve as basiccategories for construction of Kuratowski closure and interior operatorson the set of Q-valued fuzzy sets, F-transforms of Q-valued fuzzy sets withrespect to fuz...

Pure mathematics

  • 2017
  • Jimp
  • Link
Result

A Modal Account of Preference in a Fuzzy Setting

In this paper we first consider the problem of extending fuzzy (weak and strict) preference relations, represented by fuzzy preorders on a set to a fuzzy preferences the corresponding different notions of fuzzy...

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

  • 2018
  • C
  • Link
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