Journal
MATHEMATICS
Volume 7, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/math7040340
Keywords
multiple attribute decision-making (MADM); q-rung orthopair fuzzy sets (q-ROFSs); cosine function; cosine similarity measure; pattern recognition; scheme selection
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Funding
- National Natural Science Foundation of China [61174149, 71571128]
- Humanities and Social Sciences Foundation of Ministry of Education of the People's Republic of China [14YJCZH091, 15XJA630006]
- Construction Plan of Scientific Research Innovation Team for Colleges and Universities in Sichuan Province [15TD0004]
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In this article, we propose another form of ten similarity measures by considering the function of membership degree, non-membership degree, and indeterminacy membership degree between the q-ROFSs on the basis of the traditional cosine similarity measures and cotangent similarity measures. Then, we utilize our presented ten similarity measures and ten weighted similarity measures between q-ROFSs to deal with multiple attribute decision-making (MADM) problems including pattern recognition and scheme selection. Finally, two numerical examples are provided to illustrate the scientific and effective of the similarity measures for pattern recognition and scheme selection.
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