Triangular-norm-based addition of fuzzy intervals

DOI10.1016/S0165-0114(97)00143-7zbMath0919.04011OpenAlexW2056858413MaRDI QIDQ1282865

Radko Mesiar

Publication date: 12 April 1999

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(97)00143-7

zbMATH Keywords

Archimedean t-normstriangular normfuzzy arithmeticextension principleextended real lineaddition of fuzzy numbersaddition of fuzzy intervalsaddition of shapeslimit t-norms

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items

Solution of a system of linear equations with fuzzy numbers, \(T\)-sum of sigmoid-shaped fuzzy intervals, 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, Fuzzification of vector-valued functions, A parametrized sum of fuzzy numbers with applications to fuzzy initial value problems, (Ir)relevant T-norm Joint Distributions in the Arithmetic of Fuzzy Quantities, Unnamed Item, Unnamed Item, A t-norm embedding theorem for fuzzy sets, On the compatibility between defuzzification and fuzzy arithmetic operations, Fuzzy differential equations with interactive derivative, Continuous Archimedean t-norms and their bounds, Unnamed Item, Some results on the addition of fuzzy intervals, Parameter estimations of mutually \(T\)-related fuzzy variables, Nilpotent t-norm-based sum of fuzzy intervals, A simple method for computing the entropy of the product of general fuzzy intervals, Unnamed Item, Possibilistic optimization problems with mutually \(T\)-related parameters: comparative study, Extended triangular norms, Convex hull of a fuzzy set and triangular norms, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Fuzzification of real-valued functions based on the form of decomposition theorem: applications to the differentiation and integrals of fuzzy-number-valued functions, A note on fuzzy time-series model, Generalized pseudo-convolution in the theory of probabilistic metric spaces, information, fuzzy numbers, optimization, system theory, Decomposition and construction of fuzzy sets and their applications to the arithmetic operations on fuzzy quantities, Products of elements in vague semigroups and their implementations in vague arithmetic.

Cites Work

• Unnamed Item
• Unnamed Item
• The concept of a linguistic variable and its application to approximate reasoning. I
• \(T\)-sums of L-R fuzzy numbers
• A note to the addition of fuzzy numbers based on a continuous Archimedean t-norm
• On the convergence of product-sum series of \(L-R\) fuzzy numbers
• A note to the \(T\)-sum of \(L\)-\(R\) fuzzy numbers
• A note on product-sum of \(L\)-\(R\) fuzzy numbers
• On the convergence of \(T\)-sum of \(L\)-\(R\) fuzzy numbers
• Additions of interactive fuzzy numbers