Vincent C. Yen

Factor spaces theory and its applications to fuzzy information processing. (I). The basics of factor spaces

This is the first of a series of papers on factor space theory and its applications to fuzzy information processing. This paper focuses on the basics of factor spaces such as the meaning, operations of factors, etc. A new axiomatic definition of factor space and the notion of the description frame are given. This is followed by the development of the representation of concepts in a description space. Finally, the notion of factor sufficiency and the atomic factor space are introduced.

Modified goodness-of-fit test for the laplace distribution

In this paper critical values of the Anderson-Darling and Cra[macute]er-von Mises are given for the Laplace distribution for maximum likelihood estimation of the location and scale parameters. The power of these tests is investigated for a number of alternative distributions. The Anderson-Darling test yields higher power generally than the Cra[macute]er-von Mises test.

A node-centric analysis of metagraphs and its applications to workflow models

Business processes and its related workflow systems have received greater interest in practice and research in the last decade. Many analytical methodologies for analysis and design of workflow systems emerged. A recent formal approach to study workflows using a graph-theoretic method called ‘metagraphs’ has demonstrated effectiveness for analysing connectivity and interactions of information and resources between workflow components. However, past works in analysis of metagraph are element-based. Since nodes in metagraphs represent either the input or output of an activity it is natural to process information contained in a node taken as a unit. This paper takes a node-centric view on metagraphs that is a major departure from the element-based approach today. The change in focus requires provisioning an analysis framework under the node-centric views. New basic constructs including, but not limited to, concepts such as: ‘surplus sets’, ‘deficit sets’, ‘state of a path’, and ‘node-centric view of adjacency matrices’ are introduced. The approach produces computational feasible systems for elements that are over supplied and/or under supplied from a source node to a target node of any path of the metagraph. Such information could be valuable for designing workflow systems. Also, the node-centric approach is shown to be an extension of the basic constructs of element-view metagraphs and is a complementary method for validating information requirements of workflow modelling. Illustrative examples are given.

Factor space theory in fuzzy information processing—Composition of states of factors and multifactorial decision making

Abstract The concept of factor space used in fuzzy information processing is investigated. The composition of the states of factors, which is a basic tool in multifactorial decision making, is first considered. Then, a general model of multifactorial decision making is formulated. Finally, multi-factorial decision making with multiple objectives is introduced. Numerical examples are given to illustrate the approaches.

Factor spaces theory and its applications to fuzzy information processing: Two kinds of factor space canes☆

Abstract Factor space canes are discussed in details in this paper. First, naive thoughts of factor space canes are subscribed in order to have a clear notions about factor spaces and factor space canes. Second, melon-type factor space canes and chain-type factor space canes, two kinds of factor space canes, are introduced. Then switch factors and their growth relation are considered. At last, class partition and class concepts are studied that play important role on multifactorial fuzzy decision-making and representation of knowledge.

Models of neurons based on factor space

Abstract Based on the factor space theory, several models of neurons, both with and without respect to time, are proposed and investigated. The mechanism of neurons is also discussed in detail. Several of the models formulated are based on the Weber-Fechner law, Fukushimas model, and the concept of variable weights.