𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A family of strict and discontinuous triangular norms

✍ Scribed by Mirko Budinčević; MilošS. Kurilić


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
237 KB
Volume
95
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Residuated logics based on strict triang
✍ Petr Cintula; Erich Peter Klement; Radko Mesiar; Mirko Navara 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 199 KB

## Abstract In general, there is only one fuzzy logic in which the standard interpretation of the strong conjunction is a strict triangular norm, namely, the product logic. We study several equations which are satisfied by some strict t‐norms and their dual t‐conorms. Adding an involutive negation,

New family of triangular norms via contr
✍ Sándor Jenei 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 149 KB

In this paper a certain transformation of triangular norms (called N -annihilation) is studied. This problem is strongly related to the contrapositive symmetry property of residuated implications. We characterize those continuous triangular norms where the annihilated binary operation is a triangula

On a family of t-norms
✍ Gaspar Mayor; Joan Torrens 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 227 KB
Different interpretations of triangular
✍ Radko Mesiar; Endre Pap 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 506 KB

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.