In this paper, the fuzzy dual matrix system as AX + B = CX + D in which A, B, C, D, X are LR fuzzy matrices is studied. At first we solve 1-cut system in order to find the core of LR fuzzy solution; then to obtain the spreads of the LR fuzzy solution, we discuss in several cases. The spreads are obtained by using multiplication, quasi norm and minimization problem with a special objective funct...

A characterization of an h-hemiregular hemiring in terms of a fuzzy h-ideal is provided. Some properties of prime fuzzy h-ideals of h-hemiregular hemirings are investigated. It is proved that a fuzzy subset f of a hemiring S is a prime fuzzy left (right) h-ideal of S if and only if f is two-valued, f(0) = 1, and the set of all x in S such that f(x) = 1 is a prime (left) right h-ideal of S. Fina...

Characteristic, normal and completely normal intuitionistic fuzzy left h-ideals of hemirings are described. Key–Words: Hemiring, intuitionistic fuzzy left h-ideal, normal fuzzy set, fuzzy characteristic.

We introduce the notion of intuitionistic fuzzy (left) h-ideals of hemirings and investigate their properties connected with the corresponding level subsets. Methods of constructions of such intuitionistic fuzzy ideals from given sequences of left h-ideals of a hemiring R are presented. Some natural classification of such intuitionistic fuzzy h-ideals is given. Key–Words: Hemiring, fuzzy set, i...

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

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 ...

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...

The purpose of this paper is to study matrix hemiring $S_{2}$ via fuzzy subsets and fuzzy $h$-ideals.

In this paper we rst summarize t he more important aspects of a Logic Fuzzy Relational Database and w e s h ow h ow a fuzzy relational database can be representedand h andled using rst order logic. Given that t he results obtained for fuzzy databasesare satisfactory, we are tackling now t he problem of uncertain fuzzy databases considering that t he fuzzy values stored in the d a tabase are att...