A graded approach to cardinal theory of finite fuzzy sets. I: Graded equipollence

DOI10.1016/j.fss.2015.08.010zbMath1382.03073OpenAlexW2153786205MaRDI QIDQ1677941

Michal Holčapek

Publication date: 14 November 2017

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2015.08.010

zbMATH Keywords

fuzzy cardinalityfinite fuzzy setsgeneralized cardinalgraded equipollenceresiduated-dually residuated lattice

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (5)

Graded Dominance and Cantor-Bernstein Equipollence of Fuzzy Sets ⋮ Information structures in a fuzzy set-valued information system based on granular computing ⋮ Variable-domain fuzzy sets. II: Apparatus ⋮ A graded approach to cardinal theory of finite fuzzy sets. II: Fuzzy cardinality measures and their relationship to graded equipollence ⋮ Granular fuzzy rough sets based on fuzzy implicators and coimplicators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A discussion on fuzzy cardinality and quantification. Some applications in image processing
• A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms
• Fuzzy quantifiers. A computational theory
• Measuring properties of fuzzy sets: A general technique and its use in fuzzy query evaluation
• Scalar evaluations of fuzzy sets: Overview and applications
• A computational approach to fuzzy quantifiers in natural languages
• A note on rule representation in expert systems
• Fuzzy uniqueness of fuzzy mappings
• Generalized cardinal numbers and operations on them
• Fuzzy sets with triangular norms and their cardinality theory
• Triangular norms
• Fuzzy cardinality based evaluation of quantified sentences
• Algebraic foundations of many-valued reasoning
• On triangular norm-based generalized cardinals and singular fuzzy sets
• Cardinalities of fuzzy sets
• Vaguely defined objects. Representations, fuzzy sets and nonclassical cardinality theory
• An axiomatic approach to scalar cardinalities of fuzzy sets
• Fuzzy quantification: a state of the art
• Dually residuated lattice ordered semigroups
• An Axiomatic Approach to Fuzzy Measures Like Set Cardinality for Finite Fuzzy Sets
• DRl-semigroups and MV-algebras

This page was built for publication: A graded approach to cardinal theory of finite fuzzy sets. I: Graded equipollence