A \(T\)-sum bound of LR-fuzzy numbers

DOI10.1016/S0165-0114(97)00144-9zbMath0920.04010MaRDI QIDQ1282866

Changha Hwang, Dug Hun Hong

Publication date: 11 July 1999

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

zbMATH Keywords

upper boundlower boundfuzzy arithmetic\(t\)-norm based addition\(T\)-sum of LR-fuzzy numbersmembership function of a \(T\)-sum

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (16)

\(T\)-sum of sigmoid-shaped fuzzy intervals ⋮ Regranulation: a granular algorithm enabling communication between granular worlds ⋮ T-sum of Bell-shaped fuzzy intervals ⋮ Necessary and sufficient conditions for the equality of the interactive and non-interactive sums of two fuzzy numbers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A note on ``Triangular norm-based addition of fuzzy intervals ⋮ Some results on the addition of fuzzy intervals ⋮ Parameter estimations of mutually \(T\)-related fuzzy variables ⋮ Nilpotent t-norm-based sum of fuzzy intervals ⋮ Shape preserving multiplications of fuzzy numbers ⋮ On shape-preserving additions of fuzzy intervals ⋮ Piecewise linear approximation of fuzzy numbers: algorithms, arithmetic operations and stability of characteristics ⋮ Equivalent conditions for laws of large numbers for \(T\)-related L-R fuzzy numbers ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A law of large numbers for fuzzy numbers in a Banach space
• A law of large numbers for fuzzy numbers
• The concept of a linguistic variable and its application to approximate reasoning. III
• \(T\)-sums of L-R fuzzy numbers
• Shape preserving additions of fuzzy intervals
• On computation of the compositional rule of inference under triangular norms
• On the convergence of product-sum series of \(L-R\) fuzzy numbers
• Characterisation of Archimedean \(t\)-norms and a law of large numbers
• A note to the \(T\)-sum of \(L\)-\(R\) fuzzy numbers
• A convergence theorem for arrays of L-R fuzzy numbers
• On the law of large numbers for mutually \(T\)-related \(L-R\)-fuzzy numbers
• A note on product-sum of \(L\)-\(R\) fuzzy numbers
• On the convergence of \(T\)-sum of \(L\)-\(R\) fuzzy numbers
• On the compositional rule of inference under triangular norms
• On product-sum of triangular fuzzy numbers
• Additions of interactive fuzzy numbers

This page was built for publication: A \(T\)-sum bound of LR-fuzzy numbers