On fuzzy multi-value functions. I: Introduction and general properties

DOI10.1016/0165-0114(84)90050-2zbMath0532.90027OpenAlexW55734291MaRDI QIDQ789307

Jerzy Albrycht, Marian Matłoka

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0165-0114(84)90050-2

zbMATH Keywords

conical functionconcavitygraphcomposition of functionsconvexity of a fuzzy conefuzzy conefuzzy multi-valued functionmulti-valued fuzzy relationsuper-additivity

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Theory of fuzzy sets, etc. (03E72) Mathematical economics (91B99) Fuzzy topology (54A40) Other classical set theory (including functions, relations, and set algebra) (03E20)

Related Items (11)

On fuzzy multi-valued functions. IV: Fuzzy economic models ⋮ A note on fuzzy subgroups and fuzzy homomorphism ⋮ On fuzzy \(\varphi \psi \)-continuous multifunction ⋮ A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mappings ⋮ A new notion of fuzzy local function and some applications ⋮ Fuzzy closed graph fuzzy multifunctions ⋮ Fuzzy homomorphism and algebraic structures ⋮ On fuzzy multi-valued functions. II: Some topological properties ⋮ On fuzzy multi-valued functions. III: Fixed-point theorem ⋮ Finite fuzzy cone ⋮ On L-multifunctions and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Convex fuzzy sets
• An application of fuzzy subsets theory to the analysis of the consumer's spatial preferences
• The systems approach and fuzzy set theory bridging the gap between mathematical and language-oriented economists
• The concept of a linguistic variable and its application to approximate reasoning. I
• Inverses of fuzzy relations. Application to possibility distributions and medical diagnosis
• Fuzzy sets

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