We study the periodic non-linear Schrodinger equation −iu t +u xx = ±|u| p−1 u for initial data which are assumed to be small in some negative order Sobolev space H s (T) (s < 0), but which may have large L 2 mass. In [6], [7] these equations were shown to be ill-posed in H s (T), in the sense that the solution map was not uniformly continuous from H s (T) to itself even for short times and sma...

The extension principle defines the arithmetic operations on fuzzy numbers. In the extension principle one can use any t-norm for modeling the conjunction operator. It is therefore important to know, which t-norms are consistent with a particular type of fuzzy number. We call a t-norm consistent, if the arithmetic operation is closed. In this paper we investigate the addition of sigmoid and two...

Real world engineering problems are usually designed by the presence of many conflicting objectives. In this paper, an approach is developed to solve multi-objective structural design using parameterized t-norms and t-co-norms based intuitionistic fuzzy optimization technique. Here binary t-norms, t-conorms are extended in the form of n-ary t-norms and t-co-norms and their basic properties are ...

In this paper we prove that any sumset or difference set has large E 3 energy. Also, we give a full description of families of sets having critical relations between some kind of energies such as E k , T k and Gowers norms. In particular, we give criteria for a set to be a • set of the form H Λ, where H + H is small and Λ has " random structure " , • set equal to a disjoint union of sets H j ea...

We generalize the model of automatic speech recognition (ASR) based on maximization of products of probability likelihoods of speech frame-phoneme correspondences by applying strict t-norms. We formulate it as a minimization problem in terms of the logarithmic generator of strict t-norms and investigate the experimental solutions in cases of piecewise linear logarithmic generators. The performa...

Domination is a relation between general operations defined on a poset. The old open problem is whether domination is transitive on the set of all t-norms. In this paper we contribute partially by inspection of domination in the family of Frank and Hamacher tnorms. We show that between two different t-norms from the same family, the domination occurs iff at least one of the t-norms involved is ...

There has been a growing interest in the study of the notion of $alpha$-migrativity and generalizations in recent years, and it has been investigated for families of certain operators such as t-norms, t-conorms, uninorms, nullnorms.This paper is mainly devoted to investigating the migrativity equations between semi-t-operators or semi-uninorms, and Mayor's aggregation operators. The results tha...

Taylor and Francis RAMA_A_494826.sgm 10.1080/19416520.2010.494826 Academy of Management Annals 941-6520 (pri t)/194 -6067(online) Original rticle 2 10 & Francis 0 0 002010 Jenn ferChatma chatman@h as.berkeley edu Abstract Norms determine regular patterns of behavior and influence members’ identification with a group. They are also a proximate way to predict and understand behavior in diverse wo...

T norms were introduced by Schweizer and Sklar see e g in the framework of probabilistic metric spaces and are based on a notion used by Menger in or der to extend the triangle inequality in the de nition of metric spaces towards probabilistic metric spaces They have been used extensively for de ning the in tersection of fuzzy sets and for modelling the logical and in fuzzy logic Continuous t n...

This paper deals with multi-criteria decision making (MCDM) problems with multiple priorities, in which priority weights associated with the lower priority criteria are related to the satisfactions of the higher priority criteria. To do so, we first propose a prioritized weighted aggregation operator based on ordered weighted averaging (OWA) operator and triangular norms (t-norms). In order to ...