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Fuzzy sets and intuitionistic fuzzy sets can't handle imprecise, indeterminate, inconsistent, and incomplete information. Neutrosophic sets play an important role to overcome this difficulty. A neutrosophic set has a truth membership function, indeterminate membership function, and a falsehood membership functions that can handle all types of ambiguous information. New type of union and intersection...
R-unions and R-intersections of T-external (Iexternal, F-external) neutrosophic cubic sets are considered. Examples to show that the R-intersection and R-union of Texternal (I-external, F-external) neutrosophic cubic sets may not be a T-external (I-external, F-external) neutrosophic cubic set are provided. Conditions for the R-union and R-intersection of T-external (I-external, F-external) neutrosophic...
In this paper, we propose a modification of PCR5 and PCR6 fusion rules with degrees of intersections for taking into account the cardinality of focal elements of each source of evidence to combine. We show in very simple examples the interest of these new fusion rules w.r.t. classical Dempster-Shafer, PCR6, Zhang's and Jaccard's Center rules of combination.
In this paper, we introduce concept of bipolar neutrosophic set and its some operations. Also, we propose score, certainty and accuracy functions to compare the bipolar neutrosophic sets. Then, we develop the bipolar neutrosophic weighted average operator (Aw) and bipolar neutrosophic weighted geometric operator (Gw) to aggregate the bipolar neutrosophic information. Furthermore, based on the (Aw)...
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