Fuzzy divergence, probability measure of fuzzy events and image thresholding

Bhandari, Dinabandhu; Pal, Nikhil R.; Majumder, D. Dutta

doi:10.1016/0167-8655(92)90085-e

Cited by 60 publications

(24 citation statements)

References 6 publications

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“…As we have already discussed in the introductory section, in recent years, the applications of the fuzzy divergence measure have been given in different areas: Poletti et al [23] in bio-informatics; Bhandari et al [21], Fan et al [24], and Bhatia and Singh [25] in image thresholding; and Ghosh et al [10] in automated leukocyte recognition. We Table 1 provide an application of the proposed divergence measure in strategic decisionmaking.…”

Section: Application Of Parametric Generalized Exponential Measure Ofmentioning

confidence: 99%

“…A general study of the axiomatic definition of a divergence measure for fuzzy sets was presented in Bouchon-Meunier et al [20] and as a particular case was widely studied in Montes et al [11]. Bhandari et al [21] introduced the measure of fuzzy directed divergence corresponding to Kullback and Leibler [8] measure of directed divergence, as…”

Section: Fuzzy Divergence Measurementioning

confidence: 99%

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New parametric generalized exponential fuzzy divergence measure

Tomar

Ohlan

2014

J. Uncertain. Anal. Appl.

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The present paper introduces a parametric generalized exponential measure of fuzzy divergence of order α with the proof of its validity. A particular case of proposed fuzzy divergence measure is studied. Some properties of the new divergence measure between different fuzzy sets are proved. We establish a relation between exponential fuzzy entropy of order α and our fuzzy divergence measure. Further, a numerical example is given for the comparative study of the new divergence measure with some of existing measures. Finally, application of the measure to strategic decision-making is discussed and a comparative study of the method of strategic decision-making with the existing methods is presented. It is noted that the new measure of fuzzy divergence and the method of strategic decision-making comprise greater simplicity, consistency and flexibility in applications due to the presence of the parameter.

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Section: Application Of Parametric Generalized Exponential Measure Ofmentioning

confidence: 99%

Section: Fuzzy Divergence Measurementioning

confidence: 99%

New parametric generalized exponential fuzzy divergence measure

Tomar

Ohlan

2014

J. Uncertain. Anal. Appl.

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“…To determine the optimal threshold, it is possible to calculate measures such as linear/quadratic index of fuzziness [8], fuzzy compactness [9] or the index of coverage [10]. Fuzzy deviation and probability measures can also be used to segment images into object and background [11].…”

Section: Threshold Segmentationmentioning

confidence: 99%

Approaches to Image Processing using the Tools of Fuzzy Sets

Khamdamovich¹,

Khamdamov²,

Saliyev³

2018

IJCSEITR

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“…Its lower and upper bounds were obtained in term of the following fuzzy information measure characterized by [6]:…”

Section: Fuzzy Mean Code Word Lengthsmentioning

confidence: 99%

“…and those have already been studied by various authors. [6] Introduced a new measure of fuzzy divergence explaining its application to clustering problems and to an object extraction problem.…”

Section: Introductionmentioning

confidence: 99%

On Generalized Fuzzy Mean Code Word Lengths

Hooda¹,

Mishra²,

Jain³

2014

AJAM

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Abstract:In present communication, a generalized fuzzy mean code word length of degree β has been defined and its bounds in the term of generalized fuzzy information measure have been studied. Further we have defined the fuzzy mean code word length of type α, β and its bounds have also been studied. Monotonic behavior of these fuzzy mean code word lengths have been illustrated graphically by taking some empirical data.

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Fuzzy divergence, probability measure of fuzzy events and image thresholding

Cited by 60 publications

References 6 publications

New parametric generalized exponential fuzzy divergence measure

New parametric generalized exponential fuzzy divergence measure

Approaches to Image Processing using the Tools of Fuzzy Sets

On Generalized Fuzzy Mean Code Word Lengths

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