Introduction to the IndetermSoft Set and IndetermHyperSoft Set

Authors

  • Florentin Smarandache University of New Mexico, Mathematics, Physics, and Natural Science Division, 705 Gurley Ave., Gallup, NM 87301, USA

Keywords:

Soft Set;, HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set;, IndetermSoft Operators, IndetermSoft Algebra

Abstract

In this paper one introduces for the first time the IndetermSoft Set, as extension of the classical (determinate) Soft Set, that deals with indeterminate data, and similarly the HyperSoft Set extended to IndetermHyperSoft Set, where ‘Indeterm’ stands for ‘Indeterminate’ (uncertain, conflicting, not unique outcome). They are built on an IndetermSoft Algebra that is an algebra dealing with IndetermSoft Operators resulted from our real world. Afterwards, the corresponding Fuzzy / Intuitionistic Fuzzy / Neutrosophic / and other fuzzy-extension IndetermSoft Set & IndetermHyperSoft Set are presented together with their applications.

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Published

2022-06-01

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Smarandache, F. . (2022). Introduction to the IndetermSoft Set and IndetermHyperSoft Set. Neutrosophic Sets and Systems, 50, 629-650. https://fs.unm.edu/nss8/index.php/111/article/view/2549

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