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Intuitionistic Fuzzy Measures of Correlation Coefficient of Intuitionistic Fuzzy Numbers Under Weakest Triangular Norm

Intuitionistic Fuzzy Measures of Correlation Coefficient of Intuitionistic Fuzzy Numbers Under Weakest Triangular Norm

Mohit Kumar
Copyright: © 2019 |Volume: 8 |Issue: 1 |Pages: 17
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781522567684|DOI: 10.4018/IJFSA.2019010103
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MLA

Kumar, Mohit. "Intuitionistic Fuzzy Measures of Correlation Coefficient of Intuitionistic Fuzzy Numbers Under Weakest Triangular Norm." IJFSA vol.8, no.1 2019: pp.48-64. http://doi.org/10.4018/IJFSA.2019010103

APA

Kumar, M. (2019). Intuitionistic Fuzzy Measures of Correlation Coefficient of Intuitionistic Fuzzy Numbers Under Weakest Triangular Norm. International Journal of Fuzzy System Applications (IJFSA), 8(1), 48-64. http://doi.org/10.4018/IJFSA.2019010103

Chicago

Kumar, Mohit. "Intuitionistic Fuzzy Measures of Correlation Coefficient of Intuitionistic Fuzzy Numbers Under Weakest Triangular Norm," International Journal of Fuzzy System Applications (IJFSA) 8, no.1: 48-64. http://doi.org/10.4018/IJFSA.2019010103

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Abstract

The correlation coefficient of variables has wide applications in statistics and is often calculated in crisp or fuzzy environment. This article extends the application of correlation coefficient to intuitionistic fuzzy environment. In this article, a new method is proposed to measure the correlation coefficient of intuitionistic fuzzy numbers using weakest triangular norm based intuitionistic fuzzy arithmetic operations. Different from previous studies, the correlation coefficient computed in this article is an intuitionistic fuzzy number rather than a crisp or fuzzy number. It is well known that the weakest t-norm arithmetic operations effectively reduce fuzzy spreads (fuzzy intervals) and provide more exact results. Therefore, a simplified, effective and exact method based on weakest t-norm arithmetic operations is presented to compute the correlation coefficient of intuitionistic fuzzy numbers. To illustrate the proposed method, the correlation coefficient between the technology level and management achievement from a sample of 15 machinery firms in Taiwan is calculated using proposed approach.

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