Restricted ideal pseudo-intuitionistic sets

In this article we introduce restricted (and unrestricted) ideal pseudo-intuitionistic sets. In this way, we continue our earlier line of research. The idea is to generalize \c{C}oker's intuitionistic sets and to combine them with weak rough sets. We obtain a new class of objects that has certain connections with neutrosophic crisp and picture sets (but is more flexible). We define and study several logical operators and we prove various algebraic properties of them.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-31
DOI
https://doi.org/10.5281/zenodo.17092227
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

Restricted ideal pseudo-intuitionistic sets

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

Restricted ideal pseudo-intuitionistic sets

article en

Abstract

In this article we introduce restricted (and unrestricted) ideal pseudo-intuitionistic sets. In this way, we continue our earlier line of research. The idea is to generalize \c{C}oker's intuitionistic sets and to combine them with weak rough sets. We obtain a new class of objects that has certain connections with neutrosophic crisp and picture sets (but is more flexible). We define and study several logical operators and we prove various algebraic properties of them.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 45%
Geochemistry and Geologic Mapping
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Restricted ideal pseudo-intuitionistic sets · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS