The geometry of three-way decision

A theory of three-way decision concerns the art, science, and practice of thinking, problem solving, and information processing in threes. It explores the effective uses of triads of three things, for example, three elements, three parts, three perspectives, and so on. In this paper, I examine geome...

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Bibliographic Details
Published inApplied intelligence (Dordrecht, Netherlands) Vol. 51; no. 9; pp. 6298 - 6325
Main Author Yao, Yiyu
Format Journal Article
LanguageEnglish
Published New York Springer US 01.09.2021
Springer Nature B.V
Subjects
30th Anniversary Special Issue
Artificial Intelligence
Circles (geometry)
Computer Science
Computers
Data processing
Decision making
Decision theory
Fuzzy sets
Geometry
Graphical representations
Information processing
Knowledge management
Machines
Manufacturing
Mechanical Engineering
Problem solving
Processes
Science
Triangles
triadic thinking
Visual thinking
Enneagram
Three-way decision
Trilevel analysis
Eight trigrams
Numerical thinking
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Summary:A theory of three-way decision concerns the art, science, and practice of thinking, problem solving, and information processing in threes. It explores the effective uses of triads of three things, for example, three elements, three parts, three perspectives, and so on. In this paper, I examine geometric structures, graphical representations, and semantical interpretations of triads in terms of basic geometric notions of dots, lines, triangles, circles, as well as more complex structures derived from these basic notions. I use examples from different disciplines and fields to illustrate the uses of these structures and their physical interpretations for triadic thinking, triadic computing, and triadic processing. Following the principles of triadic thinking, this paper blends together three common ways to think, namely, numerical thinking, textual thinking, and visual thinking.
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ISSN:0924-669X
1573-7497
DOI:10.1007/s10489-020-02142-z