Clans with zero on an interval

Interval Clans with Nondegenerate Kernel1

Introduction. The object of this paper is to characterize the clans (compact connected Hausdorff topological semigroups with an identity element) which are homeomorphic to a unit interval and which have a nondegenerate kernel (minimal two-sided ideal). The corresponding case when the kernel is degenerate has been characterized in a paper by H. Cohen and L. I. Wade [2] together with an earlier p...

On trigonometric polynomials deviating least from zero on an interval

Extremal trigonometric polynomials with two fixed leading coefficients deviated least from zero on an interval shorter than period are found. The complete solution splits into three different cases, one of them uses elliptic functions, and two others use only elementary functions. (Published in Journal of Approximation Theory,Volume 168, April 2013, Pages 18-32). Weighted analogues (rational tr...

Cooperative clans

Purpose – To provide a mechanism for agents to form, maintain, and reason within medium-term coalitions, called clans, based upon the notions of trust and motivation. Design/methodology/approach – The model is based upon the notions of trust (representing an agent’s assessment of another’s honesty and reliability) and motivations (which represent an agent’s high-level goals). The paper describe...

INTEGRABILITY OF AN INTERVAL-VALUED MULTIFUNCTION WITH RESPECT TO AN INTERVAL-VALUED SET MULTIFUNCTION

Intervals are related to the representation of uncertainty. In this sense, we introduce an integral of Gould type for an interval-valued multifunction relative to an interval-valued set multifunction, with respect to Guo and Zhang order relation. Classicaland specific properties of this new type of integral are established and several examples and applications from multicriteria decision making...

The cyclic < ? - clans with q = 2 e