Recently, in their paper, the authors generalized notion of differentiability by defining it for all points functional domain (not only interior points) which can be considered meaningful. In this continuous is introduced differentiable function f:X→Rm with a not necessarily open X⊆Rn; i.e., continuity mapping df:X→HomRn,Rm considered. addition to introducing context approach differentiability,...

The purpose of this paper is to define the notion of an intervalvalued fuzzy H-ideal(briefly, an i − v fuzzy H-ideal) of a BCI-algebra. Necessary and sufficient conditions for an i − v fuzzy ideal to be an i − v fuzzy H-ideal are stated. A way to make a new i− v fuzzy H-ideal from old one is given. Mathematics Subject Classification: 06F35, 03B52

This paper is motivated by an astonishing result of H. Alzer and S. Ruscheweyh published in 2001, which states that the intersection classes two-variable Gini means Stolarsky equal to class power means. The form two-parameter expressed terms functions. They can naturally be generalized so-called Bajraktarević Cauchy Our aim show these two functional means, under high-order differentiability ass...

In this work, the tracking control of a class uncertain linear dynamical systems is investigated. The uncertainty considered to be represented as fuzzy numbers, and hence, these are referred systems, which presented in form differential equations (FDEs). solution an FDE found using approach called relative-distance-measure interval arithmetic under granular differentiability concept. objective ...

Fuzzy techniques may be used to represent uncertainty in both data and knowledge, and fuzzy inference systems (FISs) may be used to reason with such uncertain data and knowledge. In this paper, definitions are first provided for conventional type-1 fuzzy sets, more complex type-2 fuzzy sets and the recently introduced non-stationary fuzzy sets. Two medical applications in which such fuzzy sets ...

The Black–Scholes option pricing model is one of the most significant achievements in modern investment science. However, many factors are constantly fluctuating actual financial market pricing, such as risk-free interest rate, stock price, underlying and security price volatility may be inaccurate real world. Therefore, it great practical significance to study fractional fuzzy model. In this p...

• Banach-Alaoglu: compactness of polars • Variant Banach-Steinhaus/uniform boundedness • Second polars • Weak boundedness implies boundedness • Weak-to-strong differentiability The comparison of weak and strong differentiability is due to Grothendieck, although the original sources are not widely available.

Abstract In this study, we introduce the new concept of $$h$$ h -convex fuzzy-interval-valued functions. Under concept, present versions Hermite–Hadamard inequalities (H–H inequalities) are called fuzzy-interval type for functions ( FIVF) by means fuzzy order relation. This relation is defined level wise thro...

hybrid system is a dynamic system that exhibits both continuous and discrete dynamic behavior‎. ‎the hybrid differential equations have a wide range of applications in science and engineering‎. ‎the hybrid systems are devoted to modeling‎, ‎design‎, ‎and validation of interactive systems of computer programs and continuous systems‎. ‎hybrid fuzzy differential equations (hfdes) is considered by ...