Since the term “Fuzzy differential equations”(FDEs) emerged in the literature in 1978,
prevailing research effort has been dedicated not only to the development of the concepts …

In this paper we introduce and study new concept of differentiability for fuzzy-set-valued
functions. This derivative considers possible local interactivity in the process studied …

The present manuscript is intended to be a textbook that could serve both undergraduate
and graduate students when studying Fuzzy Set Theory and Applications. It is also intended …

In the present paper, using novel generalizations of the Hukuhara difference for fuzzy sets,
we introduce and study new generalized differentiability concepts for fuzzy valued functions …

This book is aimed at both experts and non-experts with an interest in getting acquainted
with sequence spaces, matrix transformations and their applications. It consists of several …

We propose a generalization of the Hukuhara difference. First, the case of compact convex
sets is examined; then, the results are applied to generalize the Hukuhara difference of fuzzy …

This paper deals with the solutions of fuzzy fractional differential equations (FFDEs) under
Riemann–Liouville H-differentiability by fuzzy Laplace transforms. In order to solve FFDEs, it …

In this paper, using the concept of horizontal membership functions, a new definition of fuzzy
derivative called granular derivative is proposed based on granular difference. Moreover, a …

Fuzzy fractional differential has the strength to capture the senses of memory and
uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy …

We use a generalization of the Hukuhara difference for closed intervals on the real line to
develop a theory of the fractional calculus for interval-valued functions. The properties of …