The goal of the fuzzy diatoms models is to use the advancement of the fuzzy theory and with predictive modelling to predict the outcome of given condition of diatoms. Fuzzy modelling depends from many factors, mainly by the shape of the membership functions, similarity metrics and above all the operation between the fuzzy sets – the fuzzy operators. In this paper we introduce new fuzzy operator...

Abstract: In this paper we present the Beta function and its main properties. A key feature of the Beta function, which is given by the central-limit theorem, is also shown. We then introduce a new category of neural networks based on a new kernel: the Beta function. Next, we investigate the use of Beta fuzzy basis functions for the design of fuzzy logic systems. The functional equivalence betw...

The paper sets forth in detail categorically-algebraic or catalg foundations for the operations of taking the image and preimage of (fuzzy) sets called forward and backward powerset operators. Motivated by an open question of S. E. Rodabaugh, we construct a monad on the category of sets, the algebras of which generate the fixed-basis forward powerset operator of L. A. Zadeh. On the next step, w...

A neural network architecture is introduced for incremental supervised learning of recognition categories and multidimensional maps in response to arbitrary sequences of analog or binary input vectors, which may represent fuzzy or crisp sets of features. The architecture, called fuzzy ARTMAP, achieves a synthesis of fuzzy logic and adaptive resonance theory (ART) neural networks by exploiting a...

A fuzzy logic-based multi-factor aided multiple-model filter (FLMAMMF) for General aviation (GA) maneuvering target tracking (MTT) is presented. The target category and meteorological information are introduced into the interacting multiple model (IMM) filter to perform GA target tracking. Fuzzy logic inference is employed in the proposed algorithm to reflect the complicated relationship betwee...

Some uniform categorical theoretical treatment of automata and lattice-valued fuzzy automata using quantale theory is studied in this paper. First, L-relational sheaves on a monoidM andQ-enriched categories are introduced for quantales L andQ, the equivalence of the corresponding categories are proved next. Then lattice-valued (fuzzy) automata are described by Q-enriched categories. In fact, la...

The purpose of this paper is to give a topology on a given function space in the category of intuitionistic fuzzy topological spaces and investigate series of its properties. 2010 AMS Classification: 54C35, 54A40

In this paper, we propose an email categorization method using fuzzy theory and inherent feature of messages set of email. The proposed method can automatically classify emails into category labels, which supports keyword search and directory search method to efficiently manage the classified result with relation to a large volume of emails. In addition, it can reorganize email category hierarc...