A representation of fuzzy numbers

DOI10.1016/j.fss.2015.12.017zbMath1374.26073OpenAlexW2230224072WikidataQ58331902 ScholiaQ58331902MaRDI QIDQ1677910

Dexue Zhang, Yingming Chai

Publication date: 13 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.2015.12.017

zbMATH Keywords

complete metric spacefuzzy numberfunction of bounded variationsemiringsymmetric fuzzy numberskew fuzzy number

Mathematics Subject Classification ID

Fuzzy real analysis (26E50)

Related Items (4)

FUZZY BÉZIER CURVE INTERPOLATION MODELING BY USING FUZZY CONTROL POINT RELATION ⋮ On the fictitious default algorithm in fuzzy financial networks ⋮ On generalized quotient MI-groups ⋮ The use of ordered fuzzy numbers for modelling changes in dynamic processes

Cites Work

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• MI-algebras: a new framework for arithmetics of (extensional) fuzzy numbers
• Single level constraint interval arithmetic
• Elementary fuzzy calculus
• Parametric representation of fuzzy numbers and application to fuzzy calculus
• Residuated lattices. An algebraic glimpse at substructural logics
• Symmetric fuzzy numbers and additive equivalence of fuzzy numbers
• Topological properties of fuzzy numbers
• Embedding problem of fuzzy number space. I
• Additive decomposition of fuzzy quantities with finite supports
• Weak arithmetic of fuzzy numbers
• A parametric representation of fuzzy numbers and their arithmetic operators
• Representation and application of fuzzy numbers
• On a canonical representation of fuzzy numbers
• Approximate fuzzy arithmetic operations using monotonic interpolations
• A new fuzzy arithmetic
• Advanced analysis on the real line
• Possibilities as cumulative subjective probabilities and a norm on the space of congruence classes of fuzzy numbers motivated by an expected utility functional
• Algebraic properties and topological properties of the quotient space of fuzzy numbers based on Mareš equivalence relation
• Gradual elements in a fuzzy set
• Algebraic structures for fuzzy numbers from categorial point of view
• Operations on fuzzy numbers
• Bounded Variation and Around
• Fuzzy sets

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