The Fuzziness, Similarity And The Symmetry Properties On The Neutrosophic Interval Probability

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The Fuzziness, Similarity And The Symmetry Properties On The Neutrosophic Interval Probability

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Abstract

Abstract The neutrosophic interval statistical number (NISN) has been known to be very useful in expressing the interval values under indeterminate environments. One of the essential and so important useful as tools for measuring the degree of similarity between sets of given objects is the similarity measure . In this paper, neutrosophic numbers as well as the generalized Dice similarity measure for neutrosophic numbers for two sets are defined after which the axioms of fuzziness similarity and symmetry satisfying the NISN the properties were proved.

Keywords

Keywords: Fuzziness Similarity Symmetry Properties Neutrosophic Interval generalized dice similarity measure (GDSM)

References

REFERENCES

[1] Guiwu Wei ; The generalized dice similarity measures for multiple attribute decision making with hesitant fuzzy linguistic information, Economic Research-Ekonomska Istraživanja, (2019) 32:1, 1498-1520, DOI: 10.1080/1331677X.2019.1637765

[2] Jiaming Song, et al Statistical Similarity Analysis Based on Neutrosophic Interval Probability Neutrosophic Sets and Systems, 2021 Vol. 46, University of New Mexico

[3]FLORENTIN SMARANDACHE Introduction to eutrosophicStatisticsSitech& Education Publishing 2014

[4] Chen, J.Q.; Ye, J.; Du, S.G. Scale Effect and Anisotropy Analyzed for Neutrosophic Numbers of Rock Joint Roughness Coefficient Based on Neutrosophic Statistics. Symmetry 2017, 9, 14.

[5] Chen, J.Q.; Ye, J.; Du, S.G.; Yong, R. Expressions of Rock Joint Roughness Coefficient Using Neutrosophic Interval Statistical Numbers. Symmetry 2017, 9, 123.

[6]https://en.wikipedia.org/wiki/Transcendental_function

[7]. Vasantha Kandasamy, W. B. Florentin Smarandache, Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps, Xiquan, Phoenix, 211 p., 2003,http://fs.unm.edu/NCMs.pdf

[8]. Smarandache, F. Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability, Sitech Publishing House, Craiova, http://fs.unm.edu/NeutrosophicMeasureIntegralProbability.pdf 2013

[9] Peide Liu et al, Some Similarity Measures for Interval-Valued Picture Fuzzy Sets and Their Applications in Decision Making. Information 2019, 10(12), 369; https://doi.org/10.3390/info10120369

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. "The Fuzziness, Similarity And The Symmetry Properties On The Neutrosophic Interval Probability." International Journal of Neutrosophic Science, vol. , no. , , pp. . DOI:

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