Representation of hand written decimal digits by n sequence of fuzzy sets | Zendy

Byung-Soo Moon | Zendy; In-Koo Hwang | Zendy

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Representation of hand written decimal digits by n sequence of fuzzy sets

Author(s) -

Byung-Soo Moon,

In-Koo Hwang

Publication year - 2002

Publication title -

international journal of fuzzy logic and intelligent systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.296

H-Index - 9

eISSN - 2093-744X

pISSN - 1598-2645

DOI - 10.5391/ijfis.2002.2.3.237

Subject(s) - disjoint sets , sequence (biology) , decimal , mathematics , point (geometry) , arc (geometry) , fuzzy logic , numerical digit , arithmetic , cartesian product , fuzzy number , set (abstract data type) , representation (politics) , fuzzy set , discrete mathematics , combinatorics , computer science , artificial intelligence , geometry , genetics , politics , political science , law , biology , programming language

In this paper, we describe how to represent hand witten decimal digits by a sequence of one to five fuzzy sets. Each fuzzy set represents an arc segment of the digit and is a Cartesian product of four fuzzy sets; the first is fur the arc length of the segment, the second is for the arc direction, the third is fur the arc shape, and the fourth is a crisp number indicating whether it has a junction point and if it has an end point of a stroke. We show that an arbitrary pair of these sequences representing two different digits is mutually disjoint. We also show that various forms of a digit written in different styles can be represented by the same sequence of fuzzy sets and hence the deviations due to different writers can be modeled by using these fuzzy sets.

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