Asia Mathematika, Vol 9, issue 2, pages: 71-80.

Restricted ideal pseudo-intuitionistic sets

Tomasz Witczak
Institute of Mathematics, University of Silesia, Bankowa 14, 40-007, Katowice, Poland.

Received: 03 Aug 2025 | Accepted: 14 Aug 2025 | Final Version: 31 Aug 2025

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.

Keywords:
ideal pseudo-intuitionistic sets, intuitionistic sets, weak rough sets.

1. Introduction

In modern logic, set theory and topology we have many classes of so-called non-classical sets. Basically, they are used to model various aspects of non-probabilistic uncertainty...

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