Interval-valued versus intuitionistic fuzzy sets: Isomorphism versus semantics

Hamid R. Tizhoosh

doi:10.1016/j.patcog.2007.11.003

Interval-valued versus intuitionistic fuzzy sets: Isomorphism versus semantics

Hamid R. Tizhoosh

Artificial Intelligence and Informatics

Research output: Contribution to journal › Comment/debate › peer-review

Abstract

Interval-values fuzzy sets (IVFSs) as a special case of type II and L-fuzzy sets, were introduced in the 1970s by Zadeh and others and the Intuitionistic fuzzy sets (IFSs) were introduced in the mid-1980s by Atanassov. The fact that IVFSs and IFSs constitute a mathematical isomorphism does not decline the authenticity and usefulness of IFSs. IFVS and IFS are based on different semantics such as imprecise membership versus weighing and modeling preferences. Understanding the threshold as an imprecise fuzzy number is intuitive, self-explanatory, and easily implementable. The research in the fuzzy community has gone in two different directions in spite of the isomorphism, most likely due to different semantics, and also due to some historical reasons.

Original language	English (US)
Pages (from-to)	1812-1813
Number of pages	2
Journal	Pattern Recognition
Volume	41
Issue number	5
DOIs	https://doi.org/10.1016/j.patcog.2007.11.003
State	Published - May 2008

ASJC Scopus subject areas

Software
Signal Processing
Computer Vision and Pattern Recognition
Artificial Intelligence

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Interval-valued versus intuitionistic fuzzy sets: Isomorphism versus semantics

Abstract

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