Remotely sensed images as a major data source to observe the earth have been extensively used in spatial-temporal analysis in environmental research. Information on the spatial distribution and spatial-temporal dynamics of natural landscapes recorded by series of images, however, usually bears various kinds of uncertainties. This thesis proposes a random set method to deepen our insight into th...

Abstract This article presents the circular Pythagorean fuzzy set (C-PFS) model, a generalization of intuitionistic model that improves its performance thanks to acclaimed extension sets sets. Then, we generalize C-PFSs produce novel disc (D-PFSs). The constituent elements both and D-PFSs are values, either with common or distinctive radius. We lay out some fundamental algebraic arithmetic oper...

fuzzy rule-based classification system (frbcs) is a popular machine learning technique for classification purposes. one of the major issues when applying it on imbalanced data sets is its biased to the majority class, such that, it performs poorly in respect to the minority class. however many cases the minority classes are more important than the majority ones. in this paper, we have extended ...

This is a short introduction to indistinguishability operators. Section 1 contains the definition of these operators and gives basic reasons for their study. Section 2 explains the two most popular ways to generate them, depending on the way the data are given. Section 3 introduces the idea of extensionality and shows that extensional fuzzy subsets with respect to a T -indistinguishability oper...

In this paper, pretopological and topological operators are introduced based on partially continuous linear transformations of the membership and non-membership functions for intuitionistic fuzzy sets. They turn out to be a generalization of the topological operators for intuitionistic fuzzy sets.On the other hand it is a generalization of the fuzzy set pretopological operators introduced...

When there are interactions among the independent variables, the performances of the most often used multiple regression models and ridge regression model are not well enough. In contrast, the Choquet integral takes into account the interactions among independent variables, the discrete Choquet integral regression models based on some non-negative valued fuzzy measures or monotonic measure can ...

In this paper we study two important concepts, i.e. the direct andthe inverse limit of hyperstructures associated with fuzzy sets of type 2, andshow that the direct and the inverse limit of hyperstructures associated withfuzzy sets of type 2 are also hyperstructures associated with fuzzy sets of type 2.

Schema comparison is essential for integrating diierent database schemata. Since the semantics of a schema is also represented by its integrity constraints, they must be considered by a correct schema comparison method. Especially the extensional relationships between classes are determined by the relationship between the corresponding integrity constraint sets. In this paper, we work out the r...

This work is towards the study of the relationship between fuzzy preordered sets and Alexandrov (left/right) fuzzy topologies based on generalized residuated lattices here the fuzzy sets are equipped with generalized residuated lattice in which the commutative property doesn't hold. Further, the obtained results are used in the study of fuzzy automata theory.

‎In this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. Moreover, we study some more properties of this type of closed spaces.