Intuitionistic anti fuzzy normal subrings over normed rings
In this paper, we initiate the notion of intuitionistic anti fuzzy normed normal subrings and generalize various related properties. We extend the notion of intuitionistic fuzzy normed subrings to intuitionistic anti fuzzy normed normal subrings. Further, we study the algebraic nature of direct prod...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2022
|
| Online Access: | http://journalarticle.ukm.my/19150/ http://journalarticle.ukm.my/19150/1/24.pdf |
| _version_ | 1848814762458087424 |
|---|---|
| author | Nour Abed Alhaleem, Abd Ghafur Ahmad, |
| author_facet | Nour Abed Alhaleem, Abd Ghafur Ahmad, |
| author_sort | Nour Abed Alhaleem, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | In this paper, we initiate the notion of intuitionistic anti fuzzy normed normal subrings and generalize various related properties. We extend the notion of intuitionistic fuzzy normed subrings to intuitionistic anti fuzzy normed normal subrings. Further, we study the algebraic nature of direct product of intuitionistic anti fuzzy normed normal subrings and establish and examine some imperative properties of such products. We also provide some essential operations specially subset, complement and intersection relating to direct product of intuitionistic anti fuzzy normed normal subrings. Then, we generalize the relation between the intuitionistic characteristic function and direct product of intuitionistic anti fuzzy normed normal subrings. |
| first_indexed | 2025-11-15T00:39:14Z |
| format | Article |
| id | oai:generic.eprints.org:19150 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:39:14Z |
| publishDate | 2022 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:191502022-08-01T03:31:09Z http://journalarticle.ukm.my/19150/ Intuitionistic anti fuzzy normal subrings over normed rings Nour Abed Alhaleem, Abd Ghafur Ahmad, In this paper, we initiate the notion of intuitionistic anti fuzzy normed normal subrings and generalize various related properties. We extend the notion of intuitionistic fuzzy normed subrings to intuitionistic anti fuzzy normed normal subrings. Further, we study the algebraic nature of direct product of intuitionistic anti fuzzy normed normal subrings and establish and examine some imperative properties of such products. We also provide some essential operations specially subset, complement and intersection relating to direct product of intuitionistic anti fuzzy normed normal subrings. Then, we generalize the relation between the intuitionistic characteristic function and direct product of intuitionistic anti fuzzy normed normal subrings. Penerbit Universiti Kebangsaan Malaysia 2022-02 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/19150/1/24.pdf Nour Abed Alhaleem, and Abd Ghafur Ahmad, (2022) Intuitionistic anti fuzzy normal subrings over normed rings. Sains Malaysiana, 51 (2). pp. 609-618. ISSN 0126-6039 https://www.ukm.my/jsm/malay_journals/jilid51bil2_2022/KandunganJilid51Bil2_2022.html |
| spellingShingle | Nour Abed Alhaleem, Abd Ghafur Ahmad, Intuitionistic anti fuzzy normal subrings over normed rings |
| title | Intuitionistic anti fuzzy normal subrings over normed rings |
| title_full | Intuitionistic anti fuzzy normal subrings over normed rings |
| title_fullStr | Intuitionistic anti fuzzy normal subrings over normed rings |
| title_full_unstemmed | Intuitionistic anti fuzzy normal subrings over normed rings |
| title_short | Intuitionistic anti fuzzy normal subrings over normed rings |
| title_sort | intuitionistic anti fuzzy normal subrings over normed rings |
| url | http://journalarticle.ukm.my/19150/ http://journalarticle.ukm.my/19150/ http://journalarticle.ukm.my/19150/1/24.pdf |