an efficient flood alarm system may significantly improve public safety and mitigate damages caused by inundation. flood forecasting is undoubtedly a challenging field of operational hydrology and a huge literature has been developed over the years. in this paper, we first define ordered ideal intuitionistic fuzzy sets and establish some results on them. then, we define similarity measures betw...

in this paper, we introduce fuzzy banach algebra and study the properties of invertible elements and its relation with opensets. we obtain some interesting results.

Spatial data is quite often is prone to uncertainty and imprecision. For this purpose, fuzzy regions have been developed: they basically consist of a fuzzy set over a two dimensional domain, allowing for both fuzzy regions and fuzzy points to be modelled. The model is extended to a level-2 fuzzy region to overcome some limitations, but this has an impact on operations. In this contribution, we ...

In this paper we deal with the problem of the relationship between the equipotency defined a s a consequence of a given definition of scalar cardinality of a fuzzy set and the existence of a bijection between fuzzy sets, which also depends on the definition of fuzzy function or fuzzy mapping between fuzzy sets. We investigate the main definitions and we introduce an intermediate one that is a n...

We describe a model for the fuzzy sets “near zero” (small numbers) and we show how to derive some T-indistinguishabilities in the real line, which are related to the model considered in probabilistic metric spaces. We revisite the concept of stability for functional equations arising in Fuzzy Logic by using the “near zero”’ model.

We describe the formal equivalence between interval valued and intuitionistic fuzzy subsets. We then discuss the role of fuzzy set methods in multi-criteria decision-making. We note that when an application involves non-standard, interval valued or intuitionistic fuzzy subsets, a problem arises in choosing a best alternative. This problem is a result of the fact that the membership grades of th...

Investigation of reliability characteristics under fuzzy environments is proposed in this paper. Fuzzy Weibull distribution and lifetimes of components are using it described. Formulas of a fuzzy reliability function, fuzzy hazard function and their α-cut set are presented. Furthermore, the fuzzy functions of series systems and parallel systems are discussed, respectively. Finally, some num...

In this paper, we present a new fuzzy reasoning method based on the compensating fuzzy reasoning (CFR). Its basicidea is to obtain a new fuzzy reasoning result by moving and deforming the consequent fuzzy set on the basis of themoving, deformation, and moving-deformation operations between the antecedent fuzzy set and observation information.Experimental results on real-world data sets show tha...

In this paper, we dene the concepts of compatibility between twofuzzy subsets on Q, the set of states of a max- min general fuzzy automatonand transitivity in a max-min general fuzzy automaton. We then construct auniform structure on Q, and dene a topology on it. We also dene the conceptof semi-uniform structures on a nonempty set X and construct a semi-uniformstructure on the set of states of ...

We characterize the fuzzy ideal generated by a fuzzy subset in a semigroup and the fuzzy interior ideal generated by a fuzzy subset in a semigroup. Our work generalizes the characterizations ([8]) of those fuzzy ideals generated by fuzzy subsets in semigroups with an identity element.