A NEW FUZZY MORPHOLOGY APPROACH BASED ON THE FUZZY-VALUED GENERALIZED DEMPSTER-SHAFER THEORY

SAFAR HATAMI; BABAK N. ARAABI; CARO LUCAS

A NEW FUZZY MORPHOLOGY APPROACH BASED ON THE FUZZY-VALUED GENERALIZED DEMPSTER-SHAFER THEORY

Publish place: Iranian Journal of Fuzzy Systems، Vol: 1، Issue: 2

Publish Year: 1383

Type: Journal paper

Language: English

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https://civilica.com/doc/1460785

Document National Code:

JR_IJFS-1-2_002

Index date: 8 June 2022

A NEW FUZZY MORPHOLOGY APPROACH BASED ON THE FUZZY-VALUED GENERALIZED DEMPSTER-SHAFER THEORY abstract

In this paper, a new Fuzzy Morphology (FM) based on the GeneralizedDempster-Shafer Theory (GDST) is proposed. At first, in order to clarify the similarity ofdefinitions between Mathematical Morphology (MM) and Dempster-Shafer Theory (DST),dilation and erosion morphological operations are studied from a different viewpoint. Then,based on this similarity, a FM based on the GDST is proposed. Unlike previous FM’s,proposed FM does not need any threshold to obtain final eroded or dilated set/image. Thedilation and erosion operations are carried out independently but complementarily. The GDSTbased FM results in various eroded and dilated images in consecutive α-cuts, making a nestedset of convex images, where each dilated image at a larger α-cut is a subset of the dilatedimage at a smaller α-cut. Dual statement applies to eroded images.

A NEW FUZZY MORPHOLOGY APPROACH BASED ON THE FUZZY-VALUED GENERALIZED DEMPSTER-SHAFER THEORY Keywords:

Generalized Dempster-Shafer theory , Mathematical Morphology , Fuzzy Morphology , Generalized Dempster-Shafer Theory’s Fuzzy Morphology

A NEW FUZZY MORPHOLOGY APPROACH BASED ON THE FUZZY-VALUED GENERALIZED DEMPSTER-SHAFER THEORY authors

SAFAR HATAMI

RESEARCH ASSISTANT, CONTROL AND INTELLIGENT PROCESSING CENTER OF EXCELLENCE, ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN, P.O. BOX ۱۴۳۹۵/۵۱۵, TEHRAN, IRAN.

BABAK N. ARAABI

CONTROL AND INTELLIGENT PROCESSING CENTER OF EXCELLENCE, ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN, P.O. BOX ۱۴۳۹۵/۵۱۵, TEHRAN, IRAN.

CARO LUCAS

CONTROL AND INTELLIGENT PROCESSING CENTER OF EXCELLENCE, ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, UNIVERSITY OF TEHRAN, P.O. BOX ۱۴۳۹۵/۵۱۵, TEHRAN, IRAN.

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