HyperUncertain, SuperUncertain, and SuperHyperUncertain Sets/Logics/Probabilities/Statistics

Authors

Florentin Smarandache, University of New MexicoFollow

Document Type

Article

Publication Date

2017

Abstract

In this paper, we define for the first time the HyperUncertain, SuperUncertain, and SuperHyperUncertain Sets/Logics/Probabilities/Statistics, the classical case (when the appurtenance degree of a generic element belongs to the unit interval [0, 1]), and the non-classical case (when the appurtenance degree of a generic element is outside on the interval [0, 1]; such theories are called Over/Under/Off-Sets/Logics/Probabilities/Statistics). We prove that the Unary SuperHyperFunction is a generalization of all Uncertain Sets/Logics/Probabilities.

Publication Title

Critical Review

Volume

14

First Page

10

Last Page

19

Language (ISO)

English

Keywords

SuperHyperStructure, Unary SuperHyperFunction, (h-ary, k-ary) SuperHyperFunction, HyperUncertain Sets, HyperUncertain Logics, HyperUncertain Probabilities, HyperUncertain Statistics, SuperUncertain Sets, SuperUncertain Logics, SuperUncertain Probabilities, SuperUncertain Statistics, SuperHyperUncertain Sets, SuperHyperUncertain Logics, SuperHyperUncertain Probabilities, SuperHyperUncertain Statistics.

Recommended Citation

Smarandache, Florentin. "HyperUncertain, SuperUncertain, and SuperHyperUncertain Sets/Logics/Probabilities/Statistics." Critical Review , (2017): 10-19. https://digitalrepository.unm.edu/math_fsp/788

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.