Introduction to the IndetermSoft and IndetermHyperSoft Sets

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Published: Jul 30, 2022
Keywords:
Soft Set, HyperSoft set, IndetermSoft set, IndetermHyperSoft set, IndetermSoft operators, IndetermSoft algebra

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Florentin Smarandache
University of New Mexico, Department of Mathematics, Physics and Natural Sciences

Abstract

This paper presents for the first time the IndetermSoft Set, as an extension of the classical (determinate) Soft Set, which operates on indeterminate data, and similarly the HyperSoft Set extended to the IndetermHyperSoft Set, where 'Indeterm' means 'Indeterminate' (uncertain, conflicting, non-unique result). They are built on an IndetermSoft Algebra which is an algebra dealing with IndetermSoft Operators resulting from our real world. Subsequently, the IndetermSoft and IndetermHyperSoft Sets and their Fuzzy/Fuzzy Intuitionistic/Neutrosophic and other fuzzy extensions and their applications are presented.

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How to Cite
Introduction to the IndetermSoft and IndetermHyperSoft Sets. (2022). Neutrosophic Computing and Machine Learning. ISSN 2574-1101, 22, 1-22. https://fs.unm.edu/NCML2/index.php/112/article/view/210
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Vol. 22 (2022): August {Special Issue: Application of the neutrosophic research method in the post-pandemic environment}
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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Introduction to the IndetermSoft and IndetermHyperSoft Sets. (2022). Neutrosophic Computing and Machine Learning. ISSN 2574-1101, 22, 1-22. https://fs.unm.edu/NCML2/index.php/112/article/view/210

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