In this paper, we generalize the definition of fuzzy inner product space that is introduced by Lorena Popa and Lavinia Sida on a complex linear space. Certain properties generalized function are shown. Furthermore, prove produces Nadaban-Dzitac norm. Finally, concept orthogonality given some its proven.

In this paper, we study the concept of t-best coapproximation in fuzzy anti-2-normed linear spaces. We introduce the notion of t-best coapproximation, t-coproximinal sets, t-coChebyshev sets and t-orthogonality and prove some interesting theorems to characterization of t-best coapproximation elements. AMS subject classification: 46S40, 41A50.

A t-tautology (triangular tautology) is a propositional formula which is a tautology in all fuzzy logics deened by continuous triangular norms. In this paper we show that the problem of recognizing t-tautologies is coNP complete, and thus decidable.

‎In this paper‎, ‎we characterize the class of orthogonality preserving operators on an infinite-dimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$‎. ‎We show that any circle (centered at the origin) is the spectrum of an orthogonality preserving operator‎. ‎Also‎, ‎we prove that every compact normal operator is a strongly orthogo...

We offer a new definition of $varepsilon$-orthogonality in normed spaces, and we try to explain some properties of which. Also we introduce some types of $varepsilon$-orthogonality in an arbitrary  $C^ast$-algebra $mathcal{A}$, as a Hilbert $C^ast$-module over itself, and investigate some of its properties in such spaces. We state some results relating range-kernel orthogonality in $C^*$-algebras.

In this paper, we present a new chaotic control algorithm that leads to a fairly substantial improvement in the performance of the traditional fuzzy chaotic time series forecaster. The main idea is to use the Fuzzy Basis Functions (FBFs) expansion which allows us to view a Fuzzy Logic System (FLS) as a linear combination of the consequent parameters. Hence, the possibility to use a linear optim...

To alleviate the data sparseness problem during word alignment, we propose a word alignment method based on word co-occurrence degree. In this paper, we propose a new method to get the statistical information from word cooccurrence. We combine the co-occurrence counts and the fuzzy co-occurrence weights as word co-occurrence degree. Fuzzy co-occurrence weights can be obtained by searching for f...

In this paper, we establish the theory of fuzzy ideal convergence on completely distributive lattices and give characterizations of some topological notions. We also study fuzzy limit structures and discuss the relationship between fuzzy co-topologies and fuzzy limit structures.