Comparison of topological and uniform structures for fuzzy numbers and the fixed point problem

DOI10.1016/0165-0114(87)90165-5zbMath0604.54009OpenAlexW2088582422MaRDI QIDQ1083054

Robert Badard

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0165-0114(87)90165-5

zbMATH Keywords

fixed point problemstopological structuresuniform structuresclasses of fuzzy numbersmyope structure

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Topological spaces and generalizations (closure spaces, etc.) (54A05) Fuzzy topology (54A40) Uniform structures and generalizations (54E15)

Related Items (5)

Embedding problem of fuzzy number space. III ⋮ Continuous interpolation logic and qualitative modeling of flows ⋮ The topological structure of fuzzy sets with endograph metric ⋮ Numerical solutions of fuzzy differential and integral equations ⋮ On embedding problems of fuzzy number spaces. IV

Cites Work

• Elementary fuzzy calculus
• Fixed point theorems for fuzzy numbers
• Topological properties of fuzzy numbers
• Fuzzy preuniform structures and the structures they induce. I: Main results. II: Applications
• A pseudometric for fuzzy sets and certain related results

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