Bounded and involutive QI-algebras

In this paper we introduce the concepts of bounded and involutive QI-algebras and study their properties. We observe some of their substructures such as sub-algebras, ideals and filters. We also show how a QI-algebra (with an odd number of elements) can be extended to a bounded (an involutive) QI-algebra.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-12-19
DOI
https://doi.org/10.1142/s1793557125501554
Primary Topic
Fuzzy and Soft Set Theory
Type
article
Field-Weighted Citation Impact
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article

Bounded and involutive QI-algebras

Daniel A. Romano
Asian-European Journal of Mathematics
Fuzzy and Soft Set Theory
article

Bounded and involutive QI-algebras

Daniel A. Romano
article en

Abstract

In this paper we introduce the concepts of bounded and involutive QI-algebras and study their properties. We observe some of their substructures such as sub-algebras, ideals and filters. We also show how a QI-algebra (with an odd number of elements) can be extended to a bounded (an involutive) QI-algebra.

Asian-European Journal of Mathematics
Openalex Percentile: Top 54%
Fuzzy and Soft Set Theory
DOISourceOpenAlex
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