𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Operations fitting triangular-norm-based biresiduation

✍ Scribed by Radko Mesiar; Vilém Novák

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
479 KB
Volume
104
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis

Given a t-norm T and the corresponding biresiduation *--*r. An operation K fits the latter (or shortly, is fitting) if *--*r is respected by K in all its arguments. In this paper, the structure of fitting operations is investigated. Special attention is paid to the case of basic t-norms. The connection between the fitting property and the Lipschitz property is stressed. Some examples are given. (~) 1999 Elsevier Science B.V. All rights reserved.

📜 SIMILAR VOLUMES

Triangular norm-based iterative compensa
Triangular norm-based iterative compensatory operators
✍ Anna Kolesárová; Magda Komorníková 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 742 KB

Aggregation operators based on a fixed t-norm and on suitable transformations of processed data are introduced. A special attention is paid to the class of iterative compensatory operators containing also the classical arithmetic, geometric and harmonic means. Several properties of introduced operat

Weighted triangular norms-based aggregat
Weighted triangular norms-based aggregation operators
✍ Tomasa Calvo; Radko Mesiar 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 219 KB

Generalizing the construction of weighted quasi-arithmetic means for t-norms and t-conorms, we have proposed a new class of weighted means. This class is extended to weighted triangular norms-based aggregation operators, including weighted uninorms, nullnorms, gamma operators, etc. Note that the nor

Problems on triangular norms and related
Problems on triangular norms and related operators
✍ Erich Peter Klement; Radko Mesiar; Endre Pap 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 211 KB

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 wit

A triangular norm-based fuzzy predicate
A triangular norm-based fuzzy predicate logic
✍ San-Min Wang; Bao-Shu Wang; Guo-Jun Wang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 237 KB

Fuzzy predicate calculi are powerful tools in analyzing topics of Zadeh's agenda, such as fuzzy modus ponens, compositional rule of inference, fuzzy functions and fuzzy control, etc. So far, however, predicate logics which are complete with respect to the semantics over [0; 1] are rather scarce. In