In this paper we introduce a definition of gradation of continuity ingraded fuzzy topological spaces and study its various characteristic properties.The impact of the grade of continuity of mappings over the N-compactnessgrade is examined. Concept of gradation is also introduced in openness, closed-ness, homeomorphic properties of mappings and T2 separation axiom. Effectof the grades interrelat...

the dynamical behavior of a map on the unit interval has been the subject of much contemporary research. in this paper, we will consider the relation between the continuity of the map cof and cof for some positive integer k, where f is a continuous map from the unit interval to itself, and ?f is a function which takes any element of the unit interval to the set of all subsequential limits of th...

The paper improves a previously proposed axiomatic setting for qualitative decision under uncertainty in the von Neumann and Morgenstern' style, where only ordinal scales are required for assessing uncertainty and utility. A deeper analysis shows that only four axioms are needed, postulating i) that the choice is governed by a complete preorder, ii) that the decision maker is uncertainty-averse...

‎In this paper‎, ‎we study the Hölder continuity of solution mapping to a parametric variational inequality‎. ‎At first‎, ‎recalling a real-valued gap function of the problem‎, ‎we discuss the Lipschitz continuity of the gap function‎. ‎Then under the strong monotonicity‎, ‎we establish the Hölder continuity of the single-valued solution mapping for the problem‎. ‎Finally‎, ‎we apply these resu...

In this paper, a new definition of bounded fuzzy linear orderhomomorphism on $I$-topological vector spaces is introduced. Thisdefinition differs from the definition of Fang [The continuity offuzzy linear order-homomorphism. J. Fuzzy Math. {bf5}textbf{(4)}(1997), 829--838]. We show that the ``boundedness"and `` boundedness on each layer" of fuzzy linear orderhomomorphisms do not imply each other...

Efficient collision detection is important in many robotic tasks, from high-level motion planning in a static environment to low-level reactive behavior in dynamic situations. Especially challenging are problems in which multiple robots are moving among multiple moving obstacles. There is extensive work on the collision detection problem in robotics as well as in other fields. Many of the succe...

The goal of the MIREX (Music Information Retrieval Evaluation eXchange) contest is to compare state-of-the-art algorithms and systems relevant for Music Information Retrieval. This paper briefly describes our algorithm for the MIREX 2010 Multiple Fundamental Frequency (multipleF0) Estimation & Tracking task. Specifically, it is submitted for the first two subtasks: i) estimation of several fund...

Species diversity change, and therefore compositional changes in a biota, may be associated with changes at any of three ecological evels, involving the number of provinces within the biosphere, of communities within provinces, and of species represented within communities. Pleistocene sea level changes did not much affect the marine biosphere at any ecological level. An analysis of an extensiv...