Triangular norms (and triangular conorms and uni-norms) can be treated as semigroup, two-place function, also as commutative semiring multiplications. It can also be derived from the difference operation in a difference poset. We discuss here these different interpretations and their consequences.
Problems on triangular norms and related operators
β Scribed by Erich Peter Klement; Radko Mesiar; Endre Pap
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 211 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
β¦ Synopsis
A number of open problems on triangular norms and related operators was posed during the 24th Linz seminar on fuzzy set theory "Triangular norms and related operators in many-valued logics" held in February 2003. They are collected here, together with some other open problems in this context and with some problems which were posed earlier and have been solved in the meantime.
π SIMILAR VOLUMES
Let A be a standard operator algebra acting on a (real or complex) normed space E. For two n-tuples A = (A 1 , . . . , A n ) and B = (B 1 , . . . , B n ) of elements in A, we define the elementary operator R A,B on A by the relation R A,B (X) = n i=1 A i XB i for all X in A. For a single operator A