In 1974, Sugeno introduced the notion of fuzzy measure and integral to evaluate nonadditive or non-linear quality in systems engineering. In the same year, Dobrakov independently introduced the notion of submeasure from mathematical point of view to show that most of the theory of countably additive measures remain valid for such measures. Fuzzy measures and submeasures are both special kinds o...

Sometimes we have to work with  $L$-fuzzy context sequences where one or more values are missing. These sequences can represent, among other things, the evolution in time of an $L$-fuzzy context. The studies of tendencies that we have done so far used tools that are not valid when the $L$-fuzzy context has unknown values. In this work we address such situations and we propose new methods to tac...

In this paper we introduce the notion of levelwise convergence of sequence of fuzzy random variables. We derive equivalent conditions for left quasi uniform convergence of fuzzy random variables. Conditions are obtained for eventually equi-right continuity for the sequence of fuzzy random variables. A necessary and sufficient condition is obtained under which for a sequence of fuzzy random vari...

The generation of music lyrics by artificial intelligence (AI) is frequently modeled as a language-targeted sequence-to-sequence task. Formally, if we convert the melody into word sequence, can consider task to be machine translation Traditional tasks involve translating between cross-lingual sequences, whereas and natural language sequences. theme or key words generated are usually limited mee...

The purpose of this paper is to study the dynamical behavior of the sequence produced by a forward-backward algorithm, involving two random maximal monotone operators and a sequence of decreasing step sizes. Defining a mean monotone operator as an Aumann integral, and assuming that the sum of the two mean operators is maximal (sufficient maximality conditions are provided), it is shown that wit...

an immediate corollary to the main result in 2] was the theorem of Furst, Saxe, and Sipser 6] and Ajtai 1] that there is a uniform sequence of polynomial size constant depth monotone Boolean circuits that is not equivalent to whatever non-uniform sequence of polynomial size constant depth positive Boolean circuits. The thing is, we can simply translate the point-sets deenable in nite models by ...

Nonlinear Strip-Wise Affine Transformation George Moustris, Spyros .G. Tzafestas Intelligent Robotics and Automation Laboratory Department of Signals, Control and Robotics School of Electrical and Computer Engineering National Technical University of Athens Zographou 15773, Athens, Greece [email protected], [email protected] Abstract In this paper a piecewise linear homeomorphism ...