International Journal of Computational Intelligence Systems

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Volume 11, Issue 1, 2018, Pages 1338 - 1356

On a knowledge measure and an unorthodox accuracy measure of an intuitionistic fuzzy set(s) with their applications

Authors
Sumita Lalotra1, rajputsumita88@gmail.com, Surender Singh1, *, surender1976@gmail.com
1School of Mathematics, Faculty of Sciences, Shri Mata Vaishno Devi University, Katra-182320, J & K, India
*Corresponding Author
Corresponding Author
Available Online 1 January 2018.
DOI
10.2991/ijcis.11.1.99How to use a DOI?
Keywords
Intuitionistic fuzzy sets; Knowledge measure; MADM; Accuracy; Pattern recognition
Abstract

A measure of knowledge may be viewed as a dual measure of entropy in a fuzzy system; thus, it appears that the less entropy may always accompany the greater amount of knowledge. In this paper, we propose a novel measure of knowledge for an intuitionistic fuzzy set (IFS) through an axiomatic approach. We investigate the effectiveness of the proposed knowledge measure through some comparative studies with some existing entropy measures and knowledge measures of IFS. We also introduce one parametric generalized version of this knowledge measure. This paper also provides application of the proposed knowledge measures in multi-attribute decision-making (MADM). We also give two characterization results to obtain a general framework for defining new knowledge measures. Further, similarity and dissimilarity measures may also be viewed as dual concepts to deal with the problems related to pattern recognition. In this paper, we provide an accuracy measure of an intuitionistic fuzzy set relative to a given intuitionistic fuzzy set. The proposed accuracy measure seems to serve as an effective alternative to similarity and dissimilarity measures in some pattern recognition problems. We also give proof of some properties related to accuracy measure.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
11 - 1
Pages
1338 - 1356
Publication Date
2018/01/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.11.1.99How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Sumita Lalotra
AU  - Surender Singh
PY  - 2018
DA  - 2018/01/01
TI  - On a knowledge measure and an unorthodox accuracy measure of an intuitionistic fuzzy set(s) with their applications
JO  - International Journal of Computational Intelligence Systems
SP  - 1338
EP  - 1356
VL  - 11
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.11.1.99
DO  - 10.2991/ijcis.11.1.99
ID  - Lalotra2018
ER  -