Renyi’s-Tsallis fuzzy divergence measure and its applications to pattern recognition and fault detection

Kadian, Ratika; Kumar, Satish

doi:10.3233/jifs-191689

Cited by 12 publications

(7 citation statements)

References 34 publications

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“…Axiomatically, a divergence measure of two HFSs satisfies the following items similar to that of fuzzy sets [30] and intuitionistic fuzzy sets [31]:…”

Section: A New Class Of Hfs Divergence Measuresmentioning

confidence: 99%

A Divergence-Based Medical Decision-Making Process of COVID-19 Diagnosis

Farhadinia

2022

Mathematical Problems in Engineering

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This study is concerned with introducing a class of parametric and symmetric divergence measures under hesitant fuzzy environment. The proposed divergence measures have several interesting properties which make their use attractive. In order for exploring the features of proposed divergence measures for hesitant fuzzy sets (HFSs), we compare them with other existing ones in terms of divergence-initiated weighs and counter-intuitive cases. In the process of comparison, we first modify the conventional framework of hesitant fuzzy additive ratio assessment (HFARAS) using the proposed divergence measures, and then, the superiority of proposed measures is further demonstrated in a COVID-19 case study. There, we notify that the other existing divergence measures may not provide satisfactory results.

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“…Axiomatically, a divergence measure of two HFSs satisfies the following items similar to that of fuzzy sets [30] and intuitionistic fuzzy sets [31]:…”

Section: A New Class Of Hfs Divergence Measuresmentioning

confidence: 99%

A Divergence-Based Medical Decision-Making Process of COVID-19 Diagnosis

Farhadinia

2022

Mathematical Problems in Engineering

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“…By means of new discrimation and possibility measures, Wang and Wan ( 2020 ) initiated a hybrid decision support system to solve the MCDM problems under interval-valued IFS environment. Kadian and Kumar ( 2020 ) studied a new fuzzy discrimination measure and its applicability in pattern recognition and fault detection. Although, very few authors (Liu et al 2018b ; Peng and Liu 2019 ; Verma 2020 ) have paid their attention in the expansion of novel entropy and discrimination measures for q-ROFSs.…”

Section: Proposed Entropy and Discrimination Measures Within Q-rofssmentioning

confidence: 99%

A q-rung orthopair fuzzy ARAS method based on entropy and discrimination measures: an application of sustainable recycling partner selection

Mishra

Rani

2021

J Ambient Intell Human Comput

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“…The essential reason is to evaluate how much data is contained within the information. Now a days, these measures are being connected in a few disciplines such as: color picture division [17], estimation of likelihood dispersions [4,8], design acknowledgment [9,23], 3D picture division and word arrangement [20], choice making [16,22,24,25], attractive reverberation picture investigation [27], fetched-touchy classification for therapeutic conclusion [19], turbulence stream [5], fuzzy divergence and applications [3,10,15,21,26], etc. Let Θ l = {U = (u 1 , u 2 , u 3 , ..., u l ) : u i > 0, l i=1 u i = 1}, l ≥ 2 be the set of all complete finite discrete probability distributions, where u i is a probability mass function.…”

Section: Introductionmentioning

confidence: 99%

Generalized Functional Discriminating Measure For Finite Probability Distributions

CHHABRA¹

2022

CMI

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"Analysts like Renyi (1961), Csiszar (1963, 1966), Bregman (1967), Burba-Rao (1982), Jain and Saraswat (2012), etc., have introduced and analyzed the different functional discriminating measures for comparing two discrete probability distributions. But in this article, a new functional discriminating measure has been proposed that will compare finite (more than two) discrete probability distributions simultaneously. Further, some intra-relations among the measures at different values of the parameters have been discussed. Also, an interesting connection with Csiszar’s generalized functional measure has been created. Some new inequalities compared to variational discrimination and Chi-square discrimination have been discussed as well. "

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Renyi’s-Tsallis fuzzy divergence measure and its applications to pattern recognition and fault detection

Cited by 12 publications

References 34 publications

A Divergence-Based Medical Decision-Making Process of COVID-19 Diagnosis

A Divergence-Based Medical Decision-Making Process of COVID-19 Diagnosis

A q-rung orthopair fuzzy ARAS method based on entropy and discrimination measures: an application of sustainable recycling partner selection

Generalized Functional Discriminating Measure For Finite Probability Distributions

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