We introduce a new concept of general $G$-$eta$-monotone operator generalizing the general $(H,eta)$-monotone operator cite{arvar2, arvar1}, general $H-$ monotone operator cite{xiahuang} in Banach spaces, and also generalizing $G$-$eta$-monotone operator cite{zhang}, $(A, eta)$-monotone operator cite{verma2}, $A$-monotone operator cite{verma0}, $(H, eta)$-monotone operator cite{fanghuang}...

As a generalization of the triple I method, the universal triple Imethod is investigated from the viewpoints of both fuzzy reasoningand fuzzy controller. The universal triple I principle is putforward, which improves the previous triple I principle. Then,unified form of universal triple I method is established based onthe (0,1)-implication or R-implication. Moreover, the reversibilityproperty o...

A bstract We apply the theory of harmonic analysis on fundamental domain SL(2 , ?) to partition functions two-dimensional conformal field theories. decompose function c free bosons a Narain lattice into eigenfunctions Laplacian worldsheet moduli space ?/SL(2 ?), and target O ( c, ; ?)\ ?)/ ) × ). This decomposition manifests certain properties theories ensemble averages thereof. extend applicat...

Two nonstandard modes o f mference, conftrmatton and dental, have been shown by Bandler and Kohout to be vahd m fuzzy propositional and predicate logics. I f demal ts used m combmatton with modus ponens, the resultmg mference mode ("augmented modus ponens") ytelds more prectse bounds on the consequent of an implication than are usually called for m approximate reasoning. Slmdar results hold for...

Abstract We study a Miura-type transformation between Kac - van Moerbeke (Volterra) and Toda lattices in terms of the inverse spectral problem for Jacobi operators, which appear Lax representation such systems. This method, amounts to reconstruction operator from moments its Weyl function, can be used solving initial-boundary value both It is shown that Miura easily described these moments. Usi...

In an earlier paper, a new theory of measurefree"conditional"objects was presented. In this paper, emphasis is placed upon the motivation of the theory. The central part of this motivation is established through an example involving a knowledge-based system. In order to evaluate combination of evidence for this system, using observed data, auxiliary at tribute and diagnosis variables, and infer...

Classic epistemic logic focuses on propositional knowledge expressed by “knowing that” operators. However, there are various types of knowledge used in natural language, in terms of “knowing how”, “knowing whether”, “knowing what”, and so on. In [10], Plaza proposed an intuitive know-what operator which was generalized in [16] by introducing a condition. The latter know-what operator can expres...

In this paper, we introduce and study a generalized Yosida approximation operator associated to H(·, ·)-co-accretive operator and discuss some of its properties. Using the concept of graph convergence and resolvent operator, we establish the convergence for generalized Yosida approximation operator. Also, we show an equivalence between graph convergence for H(·, ·)-co-accretive operator and gen...

Treating the QCD Wilson loop as amplitude for the propagation of the first quantized particle we develop the second quantization of the same propagation. The operator of the particle positionˆX µ (the endpoint of the " open string ") is introduced as a limit of the large N Hermitean matrix. We then derive the set of equations for the expectation values of the vertex operators V (k 1). .. V (k n...