On the convergence of \(T\)-sum of \(L\)-\(R\) fuzzy numbers

DOI10.1016/0165-0114(94)90347-6zbMath0844.04004OpenAlexW1994097107MaRDI QIDQ1915269

Dug Hun Hong, Seok Yoon Hwang

Publication date: 23 July 1996

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

Full work available at URL: https://doi.org/10.1016/0165-0114(94)90347-6

zbMATH Keywords

membership functionArchimedean \(t\)-normconvergence of \(T\)-suminfinite sum of \(L\)-\(R\) fuzzy numberslimit distribution of the Hamacher sumsup-\(t\)-convolution

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Fuzzy real analysis (26E50) Convergence and divergence of infinite limiting processes (40A99)

Related Items (16)

A note to the \(T\)-sum of \(L\)-\(R\) fuzzy numbers ⋮ A convergence theorem for arrays of L-R fuzzy numbers ⋮ The convergence of \(T\)-sums of fuzzy numbers on Banach spaces ⋮ Addition of sigmoid-shaped fuzzy intervals using the Dombi operator and infinite sum theorems ⋮ A convergence of geometric mean for \(T\)-related fuzzy numbers ⋮ Some results on the addition of fuzzy intervals ⋮ Nilpotent t-norm-based sum of fuzzy intervals ⋮ The triangular norm-based addition of fuzzy intervals ⋮ The convergence of \(T\)-product of fuzzy numbers ⋮ \(T\)-sums of L-R fuzzy numbers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Triangular-norm-based addition of fuzzy intervals ⋮ A \(T\)-sum bound of LR-fuzzy numbers ⋮ On the law of large numbers for mutually \(T\)-related \(L-R\)-fuzzy numbers ⋮ Solving systems of equivalentions

Cites Work

• Unnamed Item
• On Hamacher sum of triangular fuzzy numbers
• On the convergence of product-sum series of \(L-R\) fuzzy numbers
• On product-sum of triangular fuzzy numbers
• Additions of interactive fuzzy numbers

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