Cotangent similarity measure of single-valued neutrosophic interval sets with confidence level for risk-grade evaluation of prostate cancer


The indeterminacy/inconsistency information of physicians’ confident degrees regarding their judgments is not considered in existing risk-grade evaluation methods of prostate cancer (PC). To overcome the insufficiency, based on the single-valued neutrosophic interval sets (SvNISs) expressing the hybrid information of both the uncertain judgment given by an interval number and the confident degree regarding the uncertain judgment expressed by a single-valued neutrosophic number, this original study contributes a cotangent similarity measure of SvNISs with confidence level, and a novel risk-grade evaluation method of PC by using the confidence level-based cotangent similarity measure. Then, 16 PC actual clinical cases are used to demonstrate the applicability and effectiveness of the developed risk-grade evaluation method in SvNIS setting. Finally, the comparison analysis with other existing evaluation methods and the sensitivity analysis of confidence levels show that the proposed risk-grade evaluation method of PC is reasonable and effective.

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This paper was supported by the National Natural Science Foundation of China (No. 61703280).

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Correspondence to Wen-Hua Cui.

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Cui, WH., Ye, J. & Fu, J. Cotangent similarity measure of single-valued neutrosophic interval sets with confidence level for risk-grade evaluation of prostate cancer. Soft Comput 24, 18521–18530 (2020).

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  • Single-valued neutrosophic interval set
  • Cotangent similarity measure
  • Confidence level
  • Prostate cancer
  • Risk-grade evaluation