Content
Fuzzy number is an abstract concept that appeared in the framework of fuzzy arithmetic and is a fuzzy quantity , the membership function of which is convex and unimodal. In the general case, a fuzzy number is a special case of a fuzzy interval [1] .
The apparatus of fuzzy numbers was introduced for operating with uncertain or inaccurate quantities in practical problems [2] .
Some properties
A fuzzy number is positive if it has a strictly positive carrier. If its carrier is strictly negative, then such a fuzzy number is negative.
A fuzzy number can be called a fuzzy zero if the modal value of the function of its security is identically equal to 0 [1] .
See also
- Fuzzy boolean variable
Notes
- ↑ 1 2 B. M. Gottlieb. Fuzzy values, numbers, and intervals // Introduction to Mechatronics: Textbook. - Yekaterinburg: Publishing House of the Ural State University of Railway Engineering, 2007. - S. 174-175. - 782 p.
- ↑ JG Dijkman, H. van Haeringen, SJ De Lange. Fuzzy numbers (English) // Journal of Mathematical Analysis and Applications: Journal. - 1983. - April 15 ( vol. 92 , No. 2 ). - S. 301-341 .
Links
- Fuzzy numbers from the book "Neural Networks, Genetic Algorithms and Fuzzy Systems"