On fuzzy multi-valued functions Part 1: Introduction and general properties
✍ Scribed by Jerzy Albryc ht; Marian MatŁoka
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 299 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
An apphcation to fuzzy economic systems of the fuzzy multi-valued functions theory elaborated by both of us in our previous papers is presented. First, stationary and dynamic fuzzy economic models are defined. Next the optimality of fuzzy trajectories of these models is introduced and investigated.
Previously in Part 1 of the present paper and its supplement an approach was made to an interpretation of membership functions as probability and a proposal of the probabilistic operators with dependence relation of the sets. This paper is an extension to three-valued and interval-valued fuzzy sets.
In a Hilbert space X consider the evolution equation du --.~/bl dt with .~ a nonnegative unbounded self-adjoint operator..J is the infinitesimal generator of a holomorphic semi-group. Solutions u(. ):(0, oo)~X of this equation are called trajectories. Such a trajectory may or may not correspond to a
Basic idea of Part 1 of "An interpretation of membership functions and the properties of general probabilistic operators as fuzzy set operators" (1992) mainly on the conceptual construction of membership functions, is straightened out and illustrated by detailed examples. The purpose of this article