Addition of sigmoid-shaped fuzzy intervals using the Dombi operator and infinite sum theorems

DOI10.1016/J.FSS.2005.09.011zbMath1101.68756OpenAlexW1985053248MaRDI QIDQ2492345

Yanyan Li

Publication date: 9 June 2006

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

Full work available at URL: https://doi.org/10.1016/j.fss.2005.09.011

zbMATH Keywords

Zadeh's extension principlefuzzy intervalsDombi operator

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05)

Related Items (4)

\(T\)-sum of sigmoid-shaped fuzzy intervals ⋮ T-sum of Bell-shaped fuzzy intervals ⋮ Real vector space of LR-fuzzy intervals with respect to the shape-preserving t-norm-based addition ⋮ An extended MABAC method for multi-criteria group decision-making problems based on correlative inputs of intuitionistic fuzzy information

Cites Work

• Unnamed Item
• On Hamacher sum of triangular fuzzy numbers
• Fuzzy sets and systems. Theory and applications
• A general class of fuzzy operators, the DeMorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators
• A note on the extension principle for fuzzy sets
• Fuzzy variables
• The concept of a linguistic variable and its application to approximate reasoning. I
• The convergence of \(T\)-product of fuzzy numbers
• A note to the \(T\)-sum of \(L\)-\(R\) fuzzy numbers
• On the convergence of \(T\)-sum of \(L\)-\(R\) fuzzy numbers
• A note on t-norm-based addition of fuzzy intervals
• On product-sum of triangular fuzzy numbers
• Tolerance analysis using fuzzy sets
• Operations on fuzzy numbers
• Fuzzy reasoning in decision making and optimization

This page was built for publication: Addition of sigmoid-shaped fuzzy intervals using the Dombi operator and infinite sum theorems