The paper deals with special types of $L$-ordered sets, $L$-fuzzy complete lattices, and fuzzy directed complete posets.First, a theorem for constructing monotone maps is proved, a characterization for monotone maps on an $L$-fuzzy complete lattice is obtained, and it's proved that if $f$ is a monotone map on an $L$-fuzzy complete lattice $(P;e)$, then the least fixpoint of $f$ is meet of a spe...

Fuzzy inference systems are studied from the point of view of systems of fuzzy relation equations. A fundamental interpolation condition is considered to be a crucial point of study in choosing proper inference method as well as a proper interpretation of a fuzzy rule base. The paper aims at additive interpretations and investigates their utilization from a theoretical point of view while their...

This paper restates the results on fuzzy relation equations with sup-inf composition from the viewpoint of decomposition, presents a way to describe the solution set of fuzzy relation equations, and shows a necessary and sufficient condition, which partly answers the open problem for existence of minimal solutions over complete Brouwerian lattices. Keywords— Complete Brouwerian lattice, fuzzy r...

In this paper, we further study properties of fuzzy almost continuous functions in Singal’s and Hussain’s sense and establish a condition for their equivalence which is an improvement of Theorem 5.5 of [2]. Some divergences from straightforward fuzzification of General Topology have also been noted in Example 1 and Theorem 4. We also define fuzzy almost weakly continuous and fuzzy nearly almost...

As a generalization of a fuzzy finite state machine, the notion of a bipolar fuzzy finite state machine is introduced. Also, the concepts of a bipolar (immediate) successor, a bipolar exchange property and a bipolar subsystem are introduced. Some related properties are discussed. A condition for a bipolar fuzzy finite state machine to satisfy the bipolar exchange property is established. A char...

This paper deals with the uniqueness of L-fuzzy sets in the representation of a given family of subsets of a nonempty set. It first shows a formula of the number of L-fuzzy sets whose collection of cuts coincides with a given family of subsets of a nonempty set, and then provides a necessary and sufficient condition under which such L-fuzzy set is unique. MSC: 03E72; 06D05

In this paper, we define the concept of almost generalized (S, T )− contractive condition, and prove some common fixed point results for four mappings satisfying almost generalized (S, T )− contractive condition in partially ordered fuzzy metric spaces.

Decision Tree Induction (DTI), one of the Data Mining classification methods, is used in this research for predictive problem solving in analyzing patient medical track records. In this paper, we extend the concept of DTI dealing with meaningful fuzzy labels in order to express human knowledge for mining fuzzy association rules. Meaningful fuzzy labels (using fuzzy sets) can be defined for each...

Cement rotary kiln is the main part of cement production process that have always attracted many researchers’ attention. But this complex nonlinear system has not been modeled efficiently which can make an appropriate performance specially in noisy condition. In this paper Takagi-Sugeno neuro-fuzzy system (TSNFS) is used for identification of cement rotary kiln, and gradient descent (GD) algori...

ÐWe propose a new measure of fuzzy equality comparison based on the similarity of possibility distributions. we define a type of fuzzy equi±join based on the new fuzzy equality comparison, and allow threshold values to be associated with predicates of the join condition. A sort±merge join algorithm based on a partial order of intervals is used to evaluate the fuzzy equi-join. In order for the e...