Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Atanassov’s Intuitionistic Fuzzy Set of second type (1)
- Falsehood-nonmembership (1)
- Grey System Theory (1)
- Inconsistent Intuitionistic Fuzzy Set (1)
- Indeterminacy-membership (1)
-
- Intuitionistic Fuzzy Set (1)
- Modifiable areal unit problem (1)
- N-HyperSpherical Neutrosophic Set (1)
- N-Ways Decision (1)
- Neutrosophic Probability (1)
- Neutrosophic Set (1)
- Neutrosophication (1)
- Picture Fuzzy Set (1)
- Pythagorean Fuzzy Set (1)
- Q-Rung Orthopair Fuzzy Set (1)
- Regret Theory (1)
- Spatial statistics (1)
- Spherical Fuzzy Set (1)
- Ternary Fuzzy Set (1)
- Three-Ways Decision (1)
- Truth-membership (1)
- Wildfires (1)
Articles 1 - 2 of 2
Full-Text Articles in Physical Sciences and Mathematics
Implications Of The Modifiable Areal Unit Problem For Wildfire Analyses, Timothy P. Nagle-Mcnaughton, Xi Gong, Jose A. Constantine
Implications Of The Modifiable Areal Unit Problem For Wildfire Analyses, Timothy P. Nagle-Mcnaughton, Xi Gong, Jose A. Constantine
Geography and Environmental Studies Faculty Publications
Wildfires pose a danger to both ecologies and communities. To this end, many large-scale analyses of wildfire patterns and behavior rely on the aggregation of point data to polygons, typically those based on distinct disparate ecological areas. However, the sizes, shapes, andorientations of the polygons to which data are aggregated are not neutral factors in the resulting analysis. The influence of the aggregation polygons on calculated results is known as the modifiable areal unit problem (MAUP), which is well-documented in the spatial statistics literature. Despite the documentation of the MAUP, relatively few wildfire studies consider the effects of the MAUP …
Neutrosophic Set Is A Generalization Of Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set (Picture Fuzzy Set, Ternary Fuzzy Set), Pythagorean Fuzzy Set, Q-Rung Orthopair Fuzzy Set, Spherical Fuzzy Set, And N-Hyperspherical Fuzzy Set, While Neutrosophication Is A Generalization Of Regret Theory, Grey System Theory, And Three-Ways Decision (Revisited), Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In this paper we prove that Neutrosophic Set (NS) is an extension of Intuitionistic Fuzzy Set (IFS) no matter if the sum of single-valued neutrosophic components is < 1, or > 1, or = 1. For the case when the sum of components is 1 (as in IFS), after applying the neutrosophic aggregation operators one gets a different result from that of applying the intuitionistic fuzzy operators, since the intuitionistic fuzzy operators ignore the indeterminacy, while the neutrosophic aggregation operators take into consideration the indeterminacy at the same level as truth-membership and falsehood-nonmembership are taken. NS is also more flexible and effective because it …