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Advances Of Standard And Nonstandard Neutrosophic Theories, Florentin Smarandache
Advances Of Standard And Nonstandard Neutrosophic Theories, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In this book, we approach different topics related to neutrosophics, such as: Neutrosophic Set, Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set, Picture Fuzzy Set, Ternary Fuzzy Set, Pythagorean Fuzzy Set, Atanassov’s Intuitionistic Fuzzy Set of second type, Spherical Fuzzy Set, n-HyperSpherical Neutrosophic Set, q-Rung Orthopair Fuzzy Set, truth-membership, indeterminacy-membership, falsehood-nonmembership, Regret Theory, Grey System Theory, ThreeWays Decision, n-Ways Decision, Neutrosophy, Neutrosophication, Neutrosophic Probability, Refined Neutrosophy, Refined Neutrosophication, Nonstandard Analysis; Extended Nonstandard Analysis; Open and Closed Monads to the Left/Right; Pierced and Unpierced Binads; MoBiNad Set; infinitesimals; infinities; nonstandard reals; standard reals; Nonstandard Neutrosophic Lattices of First Type (as poset) and …
On Soft Rough Topology With Multi-Attribute Group Decision Making, Florentin Smarandache, Muhammad Riaz, Atiqa Firdous, Atiqa Fakhar
On Soft Rough Topology With Multi-Attribute Group Decision Making, Florentin Smarandache, Muhammad Riaz, Atiqa Firdous, Atiqa Fakhar
Branch Mathematics and Statistics Faculty and Staff Publications
Rough set approaches encounter uncertainty by means of boundary regions instead of membership values. In this paper, we develop the topological structure on soft rough set (SR-set) by using pairwise SR-approximations. We define SR-open set, SR-closed sets, SR-closure, SR-interior,SR-neighborhood,SR-bases, product topology onSR-sets, continuous mapping, and compactness in soft rough topological space (SRTS). The developments of the theory onSR-set and SR-topology exhibit not only an important theoretical value but also represent significant applications ofSR-sets. We applied an algorithm based onSR-set to multi-attribute group decision making (MAGDM) to deal with uncertainty.