Sentence examples for fuzzy calculus from inspiring English sources

Section 3 deals with the fuzzy calculus on time scales.

In this section the most basic notations used in fuzzy calculus are introduced.

Also, a very important generalization and development related to the subject of the present paper is in the field of fuzzy sets, i.e., fuzzy calculus and fuzzy differential equations under the generalized Hukuhara derivative.

We show applications in the standard fuzzy calculus and we stress the generality and the applicability of the proposed representation to a large class of problems, including the numerical solution of fuzzy differential equations, the fuzzy linear regression and the stochastic extensions of the fuzzy mathematics.

The representations have the advantage of allowing flexible and easy to control shapes of the fuzzy numbers (we use the standard α-cuts setting, but also the membership functions are obtained immediately) and can be used directly to obtain error-controlled-approximations of the fuzzy calculus in terms of a finite set of parameters.

Based on the results in [33], there are some very important extensions, and the development related to the subject of the present paper is in the field of fuzzy sets, i.e., fuzzy calculus and fuzzy differential equations under generalized Hukuhara derivative.

Recently, the issue of fuzzy fractional calculus and fuzzy fractional differential equations has emerged as the significant subject, and this new theory has become very attractive to many scientists.

Inequality (1.1) also holds in the contexts of probability theory and fuzzy probability calculus [1] and is referred to as the Bell inequalities.

This work is generalized as follows: Section 2 contains a brief summary of the theory of fuzzy sets and calculus of time scales.

This paper applies a new fuzzy arithmetic of interval calculus and fuzzy quantities to automatic control.

The approach fully capitalizes on the two key technologies of granular computing, namely set (interval) calculus and fuzzy sets in dealing with a description of geometry of patterns (data) belonging to a certain category.