𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Modifications of Bellman-Giertz's theorem

✍ Scribed by Tai Kang; Gouzhen Chen


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
231 KB
Volume
94
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis


Bellman and Giertz have proposed the conditions that the operations of union, intersection and complementation of fuzzy sets satisfy Zadeh's definitions. We have proved that some of the conditions in Bellman-Giertz's theorem are not necessary. The Bellman-Giertz's theorem is modified and the independence of some conditions is discussed.


πŸ“œ SIMILAR VOLUMES


Some modifications of Scott's theorem on
✍ Andrzej W. Jankowski πŸ“‚ Article πŸ“… 1986 πŸ› Springer Netherlands 🌐 English βš– 507 KB

D. Scott in his paper [5] on the mathematical models for the Church-Curry 2-calculus proved the following theorem. A topological space X is an absolute extensor for the category of all topological spaces iff a contraction of X is a topological space of "Scott's open sets" in a conti. nuous lattice.

Refinements of AczΓ©l and Bellman’s inequ
✍ Zhicheng Hu; Aimin Xu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 264 KB

In this paper we establish some new generalizations of AczΓ©l's inequality and of Bellman's inequality; we will conclude by presenting some refinements of these inequalities.