The explicite formulas for Möbius function and some other important elements of the incidence algebra are delivered. For that to do one uses Kwaśniewski’s construction of his Fibonacci cobweb poset in the plane grid coordinate system. 1 Fibonacci cobweb poset The Fibonacci cobweb poset P has been invented by A.K.Kwaśniewski in [1, 2, 3] for the purpose of finding combinatorial interpretation of...

SUMMARY Cobweb posets uniquely represented by directed acyclic graphs are such a generalization of the Fibonacci tree that allows joint combinatorial interpretation for all of them under admissibility condition. This interpretation was derived in the source papers ([6,7] and references therein to the first author).[7,6,8] include natural enquires to be reported on here. The purpose of this pres...

We describe ARACHNE, a concept formation system that, uses explicit constraints on tree structure and local restructuring operators to produce well-formed probabilistic concept trees. We also present a quantitative measure of tree quality and compare the system's performance in artificial and natural domains to that of COBWEB, a well-known concept formation algorithm. The results suggest that A...

Abstract In this paper, continuous cobweb models with a generalized Caputo derivative called Caputo–Katugampola are investigated for both supply and demand functions their perturbations. The convergence of each solution in the perturbed unperturbed cases to single equilibrium is proved. Moreover, some numerical experiments provided validate theoretical results.

CobWeb is a collaborative web browsing system that allows the rules governing the interactions of multiple users (the collaboration protocol) to be externally specified and dynamically changed. We explain the architecture of the CobWeb implementation, and conclude by showing how the Java classes defining collaboration protocols are generated from visual formal specifications. We note also that,...

Even though synthesis is a crucial process in engineering design, synthesis knowledge is scarce. Previous studies in the use of machine learning techniques for design domains have concentrated mainly on learning analysis, rather than synthesis, knowledge. This study shows how synthesis knowledge can be acquired by concept formation. The paper evaluates the concept formation program COBWEB, disc...

This paper presents the cobweb model in which competitive firms, in a market for a single good, use a genetic algorithm to update their decision rules about next-period production and sales. The results of simulations show that the genetic algorithm converges to the rational expectations equilibrium for a wider range of parameter values than other algorithms frequently studied within the contex...

Fisher's Cobweb provided a well-deened framework for research on the unsupervised induction of probabilistic concept hierarchies. The system also sparked the development of many successors that extended this framework along various dimensions. In this paper, we summarize the assumptions that Cobweb embodies about the representation, organization, use, and formation of probabilistic concepts, al...

The characterization of the large family of cobweb posets as DAGs and oDAGs is given. The dim 2 poset such that its Hasse diagram coincide with digraf of arbitrary cobweb poset Π is constructed. AMS Subject Classification: 05C20, 05C75, 06A07, 11B39