Introduction to artificial neural systems
Introduction to artificial neural systems
t-Norm-based addition of fuzzy intervals
Fuzzy Sets and Systems
On computation of the compositional rule of inference under triangular norms
Fuzzy Sets and Systems
On the principles of fuzzy neural networks
Fuzzy Sets and Systems
Fuzzy neural networks: a survey
Fuzzy Sets and Systems
On the compositional rule of inference under triangular norms
Fuzzy Sets and Systems
A note on t-norm-based addition of fuzzy intervals
Fuzzy Sets and Systems
A note to the T-sum of L-R fuzzy numbers
Fuzzy Sets and Systems
A characterization of the ordering of continuous t-norms
Fuzzy Sets and Systems
Shape preserving additions of fuzzy intervals
Fuzzy Sets and Systems
Triangular-norm-based addition of fuzzy intervals
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
A T-sum bound of LR-fuzzy numbers
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
A note to the addition of fuzzy numbers based on a continuous Archimedean T-norm
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
A note to the sum of fuzzy variables
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Reasoning in Decision Making and Optimization
Fuzzy Reasoning in Decision Making and Optimization
T-sum of sigmoid-shaped fuzzy intervals
Information Sciences: an International Journal
Engineering Applications of Artificial Intelligence
A type-2 linguistic set theory and its application to multi-criteria decision making
Computers and Industrial Engineering
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The usual arithmetic operations on real numbers can be extended to arithmetical operations on fuzzy intervals by means of Zadeh's extension principle based on a t-norm T. A t-norm is called consistent with respect to a class of fuzzy intervals for some arithmetic operation, if this arithmetic operation is closed for this class. It is important to know which t-norms are consistent with a particular type of fuzzy intervals. Recently, Dombi and Gyorbiro proved that addition is closed if the Dombi t-norm is used with two bell-shaped fuzzy intervals. A result proved by Mesiar on a strict t-norm based shape preserving additions of LR-fuzzy intervals with unbounded support is recalled. As applications, we define a broader class of bell-shaped fuzzy intervals. Then we study t-norms which are consistent with these particular types of fuzzy intervals. Dombi and Gyorbiro's results are special cases of the results described in this paper.