Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2024
Abstract
The field of neutrosophic set theory and its applications has been rapidly expanding, particularly since the introduction of the journal "Neutrosophic Sets and Systems." New theories, techniques, and algorithms are being developed at a very high rate. One of the most notable trends in neutrosophic theory is its hybridization with other set theories such as rough set theory, bipolar set theory, soft set theory, hesitant fuzzy set theory, and more. Various hybrid structures like rough neutrosophic sets, neutrosophic soft set, single valued neutrosophic hesitant fuzzy sets, among others, have been proposed in a short period. Neutrosophic sets have proven to be crucial tools across a wide array of fields including data mining, decision making, e-learning, engineering, medical diagnosis, social sciences, and beyond.
The third volume in the series “New Trends in Neutrosophic Theories and Applications” focuses on theories, methods, and algorithms for decision making, as well as applications involving neutrosophic information. Some topics introduce new sets such as the Pythagorean neutrosophic vague soft set, the triangular fuzzy penta-partitioned neutrosophic set, interval-valued neutrosophic b-open sets, and interval-valued neutrosophic b-closed sets. Other topics present applications in medical diagnosis, non-preemptive neutrosophic priority queues with uneven services (labeled as NM/NM/1), AHP in an interval neutrosophic set environment, MAGDM in a triangular fuzzy neutrosophic number environment, MAGDM in a pentapartitioned neutrosophic environment, the entropy-ARAS strategy in a single-valued neutrosophic number environment, and the MABAC strategy in a rough neutrosophic set environment.
Language (ISO)
English
Keywords
neutrosophic theory, neutrosophy, medical diagnosis, non-preemptive neutrosophic priority queues with uneven services, interval neutrosophic set, triangular fuzzy neutrosophic number environment, pentapartitioned neutrosophic environment, single-valued neutrosophic number environment, MABAC strategy, rough neutrosophic set environment.
Recommended Citation
Smarandache, Florentin and Surapati Pramanik. "New Trends in Neutrosophic Theories and Applications, Volume III." (2024). https://digitalrepository.unm.edu/math_fsp/759
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
