Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields. Its table of contents covers new concepts, methods, algorithms, modelling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, nonlinear problems and new information related to optimization for the topic from the theoretical and applied viewpoints in neutrosophic sets and logic.
1. 5.1 Introduction - p. page_87 2. 5.2 Preliminaries - p. page_90 3. 5.3 Complex neutrosophic cosine similarity measure (CNCSM) - p. page_96 4. 5.4 Complex neutrosophic Dice similarity measure (CNDSM) - p. page_98 5. 5.5 Complex neutrosophic Jaccard similarity measure (CNJSM) - p. page_101 6. 5.6 Tangent function for CNS - p. page_104 7. 5.7 Decision-making steps - p. page_105 8. 5.8 Selection of educational stream for higher secondary education - p. page_106 9. 5.9 Comparison analysis - p. page_107 10. 5.10 Conclusion - p. page_110 11. Conflict of interests - p. page_110 12. Ethical approval - p. page_110 13. 6: Sentiment analysis of the #MeToo movement using neutrosophy: Application of single-valued neutrosophic sets - p. page_116 14. 7: A new sudden death testing using repetitive sampling under a neutrosophic statistical interval system - p. page_135 15. 8: Long-run behavior of interval neutrosophic Markov chain - p. page_150 16. 9: Neutrosophic-based recommender for eLearning systems - p. page_168 17. 10: Continuity and contra continuity via preopen sets in new construction fuzzy neutrosophic topology - p. page_213 18. Abstract - p. page_215 19. Acknowledgments - p. page_215 20. 10.1 Introduction - p. page_215 21. 10.2 Preliminaries - p. page_215 22. 10.3 New types of continuity in FNTSs - p. page_218 23. 10.4 Interrelations - p. page_226 24. 10.5 Conclusion - p. page_232 25. Future work - p. page_232 26. Conflict of interests - p. page_232 27. 11: A solution for the neutrosophic linear programming problem with a new ranking function - p. page_233 28. Abstract - p. page_235 29. 11.1 Introduction - p. page_235 30. 11.2 Preliminaries - p. page_236 31. 11.3 An overview of existing methods - p. page_239 32. 11.4 Proposed ranking method - p. page_248 33. 11.5 Comparing with other methods - p. page_251 34. 11.6 NLPs with fuzzy relation - p. page_252 35. 11.7 Empirical application - p. page_255 36. 11.8 Conclusion - p. page_257 37. 12: Dice and Jaccard similarity measures based on expected intervals of trapezoidal neutrosophic fuzzy numbers and their applications in multicriteria decision making - p. page_259 38. Abstract - p. page_261 39. 12.1 Introduction - p. page_261 40. 12.2 Preliminaries - p. page_263 41. 12.3 Dice similarity measure of trapezoidal neutrosophic fuzzy numbers - p. page_268 42. 12.4 Jaccard similarity measure of trapezoidal neutrosophic fuzzy numbers - p. page_272 43. 12.5 Multicriteria decision-making method - p. page_276 44. 12.6 Illustrative example - p. page_278 45. 12.7 Comparative analysis of various similarity measures under a TrNF environment - p. page_282 46. 12.8 Conclusion - p. page_284 47. Conflict of interests - p. page_285 48. Ethical approval - p. page_285 49. 13: Multiobjective nonlinear bipolar neutrosophic optimization and its comparison with existing techniques - p. page_287 50. Abstract - p. page_289 51. 13.1 Introduction - p. page_289 52. 13.2 Preliminaries - p. page_292 53. 13.3 Some refinements on neutrosophic sets - p. page_295 54. 13.4 Extended neutrosophic optimization and bipolar neutrosophic optimization technique - p. page_298 55. 13.5 Application of bipolar neutrosophic in riser design - p. page_308 56. 13.6 Conclusion - p. page_310 57. 14: A novel similarity measure for single-valued neutrosophic sets and their applications in medical diagnosis, taxonomy, and clustering analysis - p. page_314 58. 15: Modified neutrosophic fuzzy optimization model for optimal closed-loop supply chain management under uncertainty - p. page_341 59. Abstract - p. page_343 60. Acknowledgments - p. page_343 61. 15.1 Introduction - p. page_343 62. 15.2 Literature review - p. page_345 63. 15.3 Research contribution - p. page_348 64. 15.4 Description of CLSC network - p. page_349 65. 15.5 Solution methodology - p. page_363 66. 15.6 Computational study - p. page_378 67. 15.7 Conclusions - p. page_400 68. 16: Optimization-based neutrosophic set in computer-aided diagnosis - p. page_403 69. Index - p. page_423
Optimization Theory Based on Neutrosophic and Plithogenic Sets presents the state-of-the-art research on neutrosophic and plithogenic theories and their applications in various optimization fields. Its table of contents covers new concepts, methods, algorithms, modelling, and applications of green supply chain, inventory control problems, assignment problems, transportation problem, nonlinear problems and new information related to optimization for the topic from the theoretical and applied viewpoints in neutrosophic sets and logic.
1. 5.1 Introduction - p. page_87 2. 5.2 Preliminaries - p. page_90 3. 5.3 Complex neutrosophic cosine similarity measure (CNCSM) - p. page_96 4. 5.4 Complex neutrosophic Dice similarity measure (CNDSM) - p. page_98 5. 5.5 Complex neutrosophic Jaccard similarity measure (CNJSM) - p. page_101 6. 5.6 Tangent function for CNS - p. page_104 7. 5.7 Decision-making steps - p. page_105 8. 5.8 Selection of educational stream for higher secondary education - p. page_106 9. 5.9 Comparison analysis - p. page_107 10. 5.10 Conclusion - p. page_110 11. Conflict of interests - p. page_110 12. Ethical approval - p. page_110 13. 6: Sentiment analysis of the #MeToo movement using neutrosophy: Application of single-valued neutrosophic sets - p. page_116 14. 7: A new sudden death testing using repetitive sampling under a neutrosophic statistical interval system - p. page_135 15. 8: Long-run behavior of interval neutrosophic Markov chain - p. page_150 16. 9: Neutrosophic-based recommender for eLearning systems - p. page_168 17. 10: Continuity and contra continuity via preopen sets in new construction fuzzy neutrosophic topology - p. page_213 18. Abstract - p. page_215 19. Acknowledgments - p. page_215 20. 10.1 Introduction - p. page_215 21. 10.2 Preliminaries - p. page_215 22. 10.3 New types of continuity in FNTSs - p. page_218 23. 10.4 Interrelations - p. page_226 24. 10.5 Conclusion - p. page_232 25. Future work - p. page_232 26. Conflict of interests - p. page_232 27. 11: A solution for the neutrosophic linear programming problem with a new ranking function - p. page_233 28. Abstract - p. page_235 29. 11.1 Introduction - p. page_235 30. 11.2 Preliminaries - p. page_236 31. 11.3 An overview of existing methods - p. page_239 32. 11.4 Proposed ranking method - p. page_248 33. 11.5 Comparing with other methods - p. page_251 34. 11.6 NLPs with fuzzy relation - p. page_252 35. 11.7 Empirical application - p. page_255 36. 11.8 Conclusion - p. page_257 37. 12: Dice and Jaccard similarity measures based on expected intervals of trapezoidal neutrosophic fuzzy numbers and their applications in multicriteria decision making - p. page_259 38. Abstract - p. page_261 39. 12.1 Introduction - p. page_261 40. 12.2 Preliminaries - p. page_263 41. 12.3 Dice similarity measure of trapezoidal neutrosophic fuzzy numbers - p. page_268 42. 12.4 Jaccard similarity measure of trapezoidal neutrosophic fuzzy numbers - p. page_272 43. 12.5 Multicriteria decision-making method - p. page_276 44. 12.6 Illustrative example - p. page_278 45. 12.7 Comparative analysis of various similarity measures under a TrNF environment - p. page_282 46. 12.8 Conclusion - p. page_284 47. Conflict of interests - p. page_285 48. Ethical approval - p. page_285 49. 13: Multiobjective nonlinear bipolar neutrosophic optimization and its comparison with existing techniques - p. page_287 50. Abstract - p. page_289 51. 13.1 Introduction - p. page_289 52. 13.2 Preliminaries - p. page_292 53. 13.3 Some refinements on neutrosophic sets - p. page_295 54. 13.4 Extended neutrosophic optimization and bipolar neutrosophic optimization technique - p. page_298 55. 13.5 Application of bipolar neutrosophic in riser design - p. page_308 56. 13.6 Conclusion - p. page_310 57. 14: A novel similarity measure for single-valued neutrosophic sets and their applications in medical diagnosis, taxonomy, and clustering analysis - p. page_314 58. 15: Modified neutrosophic fuzzy optimization model for optimal closed-loop supply chain management under uncertainty - p. page_341 59. Abstract - p. page_343 60. Acknowledgments - p. page_343 61. 15.1 Introduction - p. page_343 62. 15.2 Literature review - p. page_345 63. 15.3 Research contribution - p. page_348 64. 15.4 Description of CLSC network - p. page_349 65. 15.5 Solution methodology - p. page_363 66. 15.6 Computational study - p. page_378 67. 15.7 Conclusions - p. page_400 68. 16: Optimization-based neutrosophic set in computer-aided diagnosis - p. page_403 69. Index - p. page_423
