✦ LIBER ✦

DeMorgan systems on the unit interval

✍ Scribed by Mai Gehrke; Carol Walker; Elbert Walker

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 935 KB
Volume: 11
Category: Article
ISSN: 0884-8173
DOI: 10.1002/(sici)1098-111x(199610)11:10<733::aid-int2>3.0.co;2-#

No coin nor oath required. For personal study only.

✦ Synopsis

Logical connectives on fuzzy sets arise from those on the unit interval. The basic theory of these connectives is cast in an algebraic spirit with an emphasis on equivalence between the various systems that arise. Special attention is given to DeMorgan systems with strict Archimedean t-norms and strong negations. A typical result is that any DeMorgan system with strict t-norm and strong negation is isomorphic to one whose t-norm is multiplication.

📜 SIMILAR VOLUMES

Averaging operators on the unit interval

✍ Mai Gehrke; Carol Walker; Elbert Walker 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 221 KB 👁 2 views

In working with negations and t-norms, it is not uncommon to call upon the arithmetic of the real numbers even though that is not part of the structure of the unit interval as a bounded lattice. To develop a self-contained system, we incorporate an averaging Ž . operator, which provides a continuous

On Certain Mean Values of Polynomials on

On Certain Mean Values of Polynomials on the Unit Interval

✍ Dimiter Dryanov; Qazi Ibadur Rahman 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 200 KB

Comments on ‘on the stability of discret

Comments on ‘on the stability of discrete-time linear interval systems’

✍ T. Mori; H. Kokame 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 144 KB

Multiwavelets on the Interval

✍ Bin Han; Qingtang Jiang 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 267 KB

Smooth orthogonal and biorthogonal multiwavelets on the real line with their scaling function vectors being supported on [-1, 1] are of interest in constructing wavelet bases on the interval [0, 1] due to their simple structure. In this paper, we shall present a symmetric C 2 orthogonal multiwavelet

On Some Classes of Polynomials Orthogona

On Some Classes of Polynomials Orthogonal on Arcs of the Unit Circle Connected with Symmetric Orthogonal Polynomials on an Interval

✍ Alexei Zhedanov 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 404 KB

Starting from the Delsarte Genin (DG) mapping of the symmetric orthogonal polynomials on an interval (OPI) we construct a one-parameter family of polynomials orthogonal on the unit circle (OPC). The value of the parameter defines the arc on the circle where the weight function vanishes. Some explici

The convex stability of an interval syst

The convex stability of an interval system

✍ Ng, S. W. 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 95 KB 👁 2 views