So far, computational complextity of the general formula for the extended t-norm does not allow to construct fuzzy logic systems of type-2 other than interval type. In this paper, we derive new formulae for extended t-norms for arguments with Gaussian and piecewise-Gaussian membership functions basing on our original theorems.

In this paper we prove a common fixed point theorem for compatible maps of type (β) on fuzzy metric spaces with arbitrary continuous t-norm.

The aim of this paper is to investigate the boundedness and compactness Stevic-Sharma operator T?1,?2,? from QK(p, q) QK,0(p,q) spaces Zygmund-type space little space. We also give upper lower estimations for norm T?1,?2,?.

and Applied Analysis 3 A finite subset of j consecutive positive integers starting with 1 is denoted by j : {1, 2, . . . , j}. The set R−h : −h, 0 ∪ R0 will be used to define the solution of functional differential equations on R0 including its initial condition in −h, 0 . C i R0 ,Rm0 is the set of m-vector real functions of class C i and definition domain R0 and PC i R0 ,Rm0 is the set of m-ve...

fuzzy set based methods have been proved to be effective in handling many types of uncertainties in different fields, including reliability engineering. this paper presents a new approach on fuzzy reliability, based on the use of beta type distribution as membership function. considering experts' ideas and by asking operators linguistic variables, a rule base is designed to determine the level ...

The purpose of this paper is to extend an interpolation theorem for sublinear operators on Lp spaces, obtained by Calderon and Zygmund, to similar operators acting on 77p spaces, p>0 [l]. We begin by making a few definitions. Let T be a mapping defined on a class of functions that are analytic in the interior of the unit circle \w\ <1, taking values that are measurable functions on some measure...

and Applied Analysis 3 As a result of 2.2 we obtain, for each x, y ∈ 0, 1 , T ( x, y ) ≤ T x, 1 x, T ( x, y ) ≤ T ( 1, y ) y. 2.5 Since, for all x, y ∈ 0, 1 , trivially T x, y ≥ 0 TD x, y , we get for an arbitrary t-norm T , TD ≤ T ≤ TM. 2.6 That is, TD is weaker and TM is stronger than any other t-norms. Also since TL < TP , we obtain the following ordering for four basic t-norms TD < TL < TP ...

in this paper, we deal with molaei’s generalized groups. we definethe notion of a fuzzy generalized subgroup with respect to a t-norm (ort-fuzzy generalized subgroup) and give some related properties. especially,we state and prove the representation theorem for these fuzzy generalizedsubgroups. next, using the concept of continuity of t-norms we obtain a correspondencebetween tf(g), the set of ...

In fuzzy logic in wider sense t norms got a prominent r ole in recent times In many valued logic the Lukasiewicz systems the G odel sytems and also the product logic are t norm based The present paper discusses the more general problem of the adequate axiomatizability for such t norm based logical systems in general survey ing results of the last years