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Fuzzy metrics

This paper has two aims: to introduce a basic conception of fuzzy sets and to generalise metric spaces to fuzzy metric space by this conception. We define the fuzzy distance between two fuzzy points in a <...

BA - Obecná matematika

  • 2003
    • •
  • D
Result

Note on the lack of equality between fuzzy weighted average and fuzzy convex sum

The paper shows that the equality of the interval-valued weighted average based on interval weights and the convex sum based on normalized interval weights presented in Dubois [The role of fuzzy sets in decision sciences: O...

BA - Obecná matematika

  • 2013
    • •
  • Jx
    • •
  • Link
Result

Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups

. On the other hand, in a multi-fuzzy set, an element of a universal set may occur more than. If we substitute the set of all fuzzy subsets of the universal set instead of crisp subsets, then we o...

Pure mathematics

  • 2022
    • •
  • Jimp
    • •
  • Link
Result

The Fuzzy Weighted Average Operation in Decision Making Models

. The practical procedures for setting the normalized fuzzy weights will be shown of decision making under risk. Normalized fuzzy weights figuring in the operation haveThe paper deals with the operation of...

BB - Aplikovaná statistika, operační výzkum

  • 2006
    • •
  • D
Result

Application of the fuzzy weighted average of fuzzy numbers in decision-making models

of alternatives in discrete fuzzy-stochastic models of decision making under risk. Normalized will be proposed. A fuzzy weighted average of fuzzy numbers with normalized fuzzy weightsThe paper de...

BA - Obecná matematika

  • 2007
    • •
  • D
Result

Normal Forms for Fuzzy Logic Functions

Three types of normal forms are introduced for fuzzy logic functions: disjunctive, conjunctive and additive. Disjunctive and conjunctive normal forms are considered in two variants: infinite and finite. It is shown that inf...

BA - Obecná matematika

  • 2003
    • •
  • D
Result

Vaguely Defined Objects and Fuzzy Clustering.

Anotace: This article discusses the clustering of objects, which characteristics cannot be described by exact data. These ones can be described by fuzzy sets or linguistic values of beforehand defined linguistic variables. To cluste...

BA - Obecná matematika

  • 2001
    • •
  • D
Result

Generalization of Fuzzy Clustering for Vaguely Defined Objects

This paper is concerned with the clustering of objects whose properties cannot be described by exact data. These can only be described by fuzzy sets or by linguistic values of previously defined linguistic variables. To cluster thes...

BA - Obecná matematika

  • 2001
    • •
  • D
Result

Fuzzy Metrics in Space of Fuzzy Points

The main purpose of this paper is to conceive fuzzy metric spaces as generalisation of metric spaces. We define the distance between two fuzzy points in a fuzzy metric space as a normal fuzzy set ...

BA - Obecná matematika

  • 2004
    • •
  • D
Result

Fuzzy metrics in space of fuzzy numbers

The main purpose of this paper is to conceive fuzzy metric spaces as generalization of metric spaces. We define the distance between two fuzzy points in a fuzzy metric space as a normal fuzzy set ...

BC - Teorie a systémy řízení

  • 2004
    • •
  • C
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