9:00 am – 10:30 am János C. Fodor, Bernard De Baets, Tomasa Calvo, Structure of uninorms with given continuous underlying t-norms and t-conorms Glad Deschrijver, Etienne E. Kerre, The residuation principle for intuitionistic fuzzy t-norms 11.00 am – 12:30 am Michal Baczynski, On the characterizations of intuitionistic fuzzy implications Carol L. Walker, Elbert A. Walker, T-norms on fuzzy sets o...

The notions of t-fuzzy left h-ideals, finite valued tfuzzy left h-ideals in a Γ−hemiring are introduced and some of their basic properties are investigated. t-fuzzy relations on a Γ−hemiring S are discussed and a characterization is given. Copyright c © 2011 Yang’s Scientific Research Institute, LLC. All rights reserved.

For a class of fuzzy metric spaces (in the sense of George and Veeramani) with an H-type t-norm,  we present a method to construct a metric on a  fuzzy metric space. The induced metric space shares many important properties with the given fuzzy metric space.  Specifically, they generate the same topology, and have the same completeness. Our results can give the constructive proofs to some probl...

The paper presents the comparison of fuzzy conclusions derived from the use of t-norms with the fuzzy conclusions derived from the use of H-norm. The idea was to examine the application of H-logical norm to fuzzy reasoning, which is not monotonious while it is known that t-norms used in fuzzy reasoning have the characteristic of monotonicity. The comparison of fuzzy conclusions was performed by...

We prove existence and uniqueness results for quasilinear systems of partial differential equations of the form ∂th − ∂ y h = g2 ( y, t, {∂ yh} j=0 ) ∂ y h + g1 ( y, t, {∂ yh} j=0 ) + r(y, t); h(y, 0) = hI(y) for sufficiently large y in a sector in the complex plane, under certain analyticity and decay conditions on h, hI ,g1,g2 and r such that the nonlinearity is formally small as y → ∞. Due t...

The H-T-P standardization sample as described in the manual ̂ *̂ included 140 subjects age 16 and above. Since the norms for evaluation of the House-Tree-Person drawings in terms of IQ's were derived from such populations, it may be assumed that this type of intellectual evaluation was prepared primarily for adults. However, soon after the publication of the H-T-P manual various workers in the fi...

The study of linearly compensated hybrid connectives H = λC +(1−λ)C̄, where C is a t-norm and C̄ represents the dual connective of C, to define aggregation operators for fuzzy classifications is a key point not only in fuzzy sets theory but also in learning processes. Although these operators are not associative, the fact that they can be decomposed into associative functions easily gives rise to...

In [Z. Cai, T. Manteuffel, and S. F. McCormick, SIAM J. Numer. Anal., 34 (1997), pp. 425–454], an L2-norm version of first-order system least squares (FOSLS) was developed for scalar second-order elliptic partial differential equations. A limitation of this approach is the requirement of sufficient smoothness of the original problem, which is used for the equivalence of spaces between (H1)d and...

We consider classical Tsirelson-type norms of T [An, θ] and their modified versions on lp spaces. We show that for any 1 < p < ∞ there is a constant λp such that considered Tsirelson-type norms do not λp-distort any of subspaces of lp.