A Game-Theoretic Perspective on Soft Topology: Linking Banach-Mazur Games with Soft Spaces Article Swipe
This paper introduces a novel link between soft topology and game topology by exploring Banach-Mazur-type games in the context of soft topological spaces. After presenting foundational concepts of both soft and game topology, we define game-theoreticoperations on soft sets and propose soft Banach-Mazur games. The convergence, openness, and strategy-based characterizations in soft topological spaces are investigatedthrough player interactions. This work opens new pathways for uncertainty modelingand decision analysis through the lens of game dynamics.
Related Topics
Concepts
Metadata
- Type
- article
- Landing Page
- https://doi.org/10.12732/ijam.v38i9s.828
- https://ijamjournal.org/ijam/publication/index.php/ijam/article/download/828/764
- OA Status
- diamond
- OpenAlex ID
- https://openalex.org/W7104707869
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W7104707869Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.12732/ijam.v38i9s.828Digital Object Identifier
- Title
-
A Game-Theoretic Perspective on Soft Topology: Linking Banach-Mazur Games with Soft SpacesWork title
- Type
-
articleOpenAlex work type
- Publication year
-
2025Year of publication
- Publication date
-
2025-11-03Full publication date if available
- Authors
-
K. AmuthaList of authors in order
- Landing page
-
https://doi.org/10.12732/ijam.v38i9s.828Publisher landing page
- PDF URL
-
https://ijamjournal.org/ijam/publication/index.php/ijam/article/download/828/764Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
-
https://ijamjournal.org/ijam/publication/index.php/ijam/article/download/828/764Direct OA link when available
- Concepts
-
Perspective (graphical), Context (archaeology), Computer science, Topology (electrical circuits), Topological space, Through-the-lens metering, Work (physics), Mathematics, Theoretical computer science, Artificial intelligence, Soft skills, Soft computing, Link (geometry), Soft set, Game theoryTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
Full payload
| id | https://openalex.org/W7104707869 |
|---|---|
| doi | https://doi.org/10.12732/ijam.v38i9s.828 |
| ids.doi | https://doi.org/10.12732/ijam.v38i9s.828 |
| ids.openalex | https://openalex.org/W7104707869 |
| fwci | 0.0 |
| type | article |
| title | A Game-Theoretic Perspective on Soft Topology: Linking Banach-Mazur Games with Soft Spaces |
| biblio.issue | 9s |
| biblio.volume | 38 |
| biblio.last_page | 894 |
| biblio.first_page | 890 |
| topics[0].id | https://openalex.org/T11671 |
| topics[0].field.id | https://openalex.org/fields/18 |
| topics[0].field.display_name | Decision Sciences |
| topics[0].score | 0.6441817879676819 |
| topics[0].domain.id | https://openalex.org/domains/2 |
| topics[0].domain.display_name | Social Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/1803 |
| topics[0].subfield.display_name | Management Science and Operations Research |
| topics[0].display_name | Fuzzy and Soft Set Theory |
| topics[1].id | https://openalex.org/T10050 |
| topics[1].field.id | https://openalex.org/fields/18 |
| topics[1].field.display_name | Decision Sciences |
| topics[1].score | 0.04550651088356972 |
| topics[1].domain.id | https://openalex.org/domains/2 |
| topics[1].domain.display_name | Social Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/1803 |
| topics[1].subfield.display_name | Management Science and Operations Research |
| topics[1].display_name | Multi-Criteria Decision Making |
| topics[2].id | https://openalex.org/T11151 |
| topics[2].field.id | https://openalex.org/fields/26 |
| topics[2].field.display_name | Mathematics |
| topics[2].score | 0.03276430070400238 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/2608 |
| topics[2].subfield.display_name | Geometry and Topology |
| topics[2].display_name | Advanced Topology and Set Theory |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C12713177 |
| concepts[0].level | 2 |
| concepts[0].score | 0.6615430116653442 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q1900281 |
| concepts[0].display_name | Perspective (graphical) |
| concepts[1].id | https://openalex.org/C2779343474 |
| concepts[1].level | 2 |
| concepts[1].score | 0.6168373227119446 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q3109175 |
| concepts[1].display_name | Context (archaeology) |
| concepts[2].id | https://openalex.org/C41008148 |
| concepts[2].level | 0 |
| concepts[2].score | 0.541377604007721 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[2].display_name | Computer science |
| concepts[3].id | https://openalex.org/C184720557 |
| concepts[3].level | 2 |
| concepts[3].score | 0.5408732295036316 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q7825049 |
| concepts[3].display_name | Topology (electrical circuits) |
| concepts[4].id | https://openalex.org/C81332173 |
| concepts[4].level | 2 |
| concepts[4].score | 0.45080676674842834 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q179899 |
| concepts[4].display_name | Topological space |
| concepts[5].id | https://openalex.org/C43091099 |
| concepts[5].level | 3 |
| concepts[5].score | 0.42515239119529724 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q1067788 |
| concepts[5].display_name | Through-the-lens metering |
| concepts[6].id | https://openalex.org/C18762648 |
| concepts[6].level | 2 |
| concepts[6].score | 0.38537177443504333 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q42213 |
| concepts[6].display_name | Work (physics) |
| concepts[7].id | https://openalex.org/C33923547 |
| concepts[7].level | 0 |
| concepts[7].score | 0.3495664894580841 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[7].display_name | Mathematics |
| concepts[8].id | https://openalex.org/C80444323 |
| concepts[8].level | 1 |
| concepts[8].score | 0.33307749032974243 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q2878974 |
| concepts[8].display_name | Theoretical computer science |
| concepts[9].id | https://openalex.org/C154945302 |
| concepts[9].level | 1 |
| concepts[9].score | 0.3069940209388733 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q11660 |
| concepts[9].display_name | Artificial intelligence |
| concepts[10].id | https://openalex.org/C43075056 |
| concepts[10].level | 2 |
| concepts[10].score | 0.2931813895702362 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q15910354 |
| concepts[10].display_name | Soft skills |
| concepts[11].id | https://openalex.org/C140073362 |
| concepts[11].level | 3 |
| concepts[11].score | 0.2915663719177246 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q738759 |
| concepts[11].display_name | Soft computing |
| concepts[12].id | https://openalex.org/C2778753846 |
| concepts[12].level | 2 |
| concepts[12].score | 0.2853398323059082 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q6554239 |
| concepts[12].display_name | Link (geometry) |
| concepts[13].id | https://openalex.org/C2777037408 |
| concepts[13].level | 3 |
| concepts[13].score | 0.2835792899131775 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q4310193 |
| concepts[13].display_name | Soft set |
| concepts[14].id | https://openalex.org/C177142836 |
| concepts[14].level | 2 |
| concepts[14].score | 0.2759084403514862 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q44455 |
| concepts[14].display_name | Game theory |
| keywords[0].id | https://openalex.org/keywords/perspective |
| keywords[0].score | 0.6615430116653442 |
| keywords[0].display_name | Perspective (graphical) |
| keywords[1].id | https://openalex.org/keywords/context |
| keywords[1].score | 0.6168373227119446 |
| keywords[1].display_name | Context (archaeology) |
| keywords[2].id | https://openalex.org/keywords/topology |
| keywords[2].score | 0.5408732295036316 |
| keywords[2].display_name | Topology (electrical circuits) |
| keywords[3].id | https://openalex.org/keywords/topological-space |
| keywords[3].score | 0.45080676674842834 |
| keywords[3].display_name | Topological space |
| keywords[4].id | https://openalex.org/keywords/through-the-lens-metering |
| keywords[4].score | 0.42515239119529724 |
| keywords[4].display_name | Through-the-lens metering |
| keywords[5].id | https://openalex.org/keywords/work |
| keywords[5].score | 0.38537177443504333 |
| keywords[5].display_name | Work (physics) |
| language | |
| locations[0].id | doi:10.12732/ijam.v38i9s.828 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4210189830 |
| locations[0].source.issn | 1311-1728, 1314-8060 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | 1311-1728 |
| locations[0].source.is_core | True |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | International Journal of Apllied Mathematics |
| locations[0].source.host_organization | |
| locations[0].source.host_organization_name | |
| locations[0].source.host_organization_lineage | |
| locations[0].license | |
| locations[0].pdf_url | https://ijamjournal.org/ijam/publication/index.php/ijam/article/download/828/764 |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | International Journal of Applied Mathematics |
| locations[0].landing_page_url | https://doi.org/10.12732/ijam.v38i9s.828 |
| indexed_in | crossref |
| authorships[0].author.id | https://openalex.org/A374347619 |
| authorships[0].author.orcid | |
| authorships[0].author.display_name | K. Amutha |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | K. Amutha |
| authorships[0].is_corresponding | True |
| has_content.pdf | True |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://ijamjournal.org/ijam/publication/index.php/ijam/article/download/828/764 |
| open_access.oa_status | diamond |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-11-11T00:00:00 |
| display_name | A Game-Theoretic Perspective on Soft Topology: Linking Banach-Mazur Games with Soft Spaces |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-12T23:11:45.498971 |
| primary_topic.id | https://openalex.org/T11671 |
| primary_topic.field.id | https://openalex.org/fields/18 |
| primary_topic.field.display_name | Decision Sciences |
| primary_topic.score | 0.6441817879676819 |
| primary_topic.domain.id | https://openalex.org/domains/2 |
| primary_topic.domain.display_name | Social Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/1803 |
| primary_topic.subfield.display_name | Management Science and Operations Research |
| primary_topic.display_name | Fuzzy and Soft Set Theory |
| cited_by_count | 0 |
| locations_count | 1 |
| best_oa_location.id | doi:10.12732/ijam.v38i9s.828 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4210189830 |
| best_oa_location.source.issn | 1311-1728, 1314-8060 |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | 1311-1728 |
| best_oa_location.source.is_core | True |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | International Journal of Apllied Mathematics |
| best_oa_location.source.host_organization | |
| best_oa_location.source.host_organization_name | |
| best_oa_location.source.host_organization_lineage | |
| best_oa_location.license | |
| best_oa_location.pdf_url | https://ijamjournal.org/ijam/publication/index.php/ijam/article/download/828/764 |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | International Journal of Applied Mathematics |
| best_oa_location.landing_page_url | https://doi.org/10.12732/ijam.v38i9s.828 |
| primary_location.id | doi:10.12732/ijam.v38i9s.828 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4210189830 |
| primary_location.source.issn | 1311-1728, 1314-8060 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | 1311-1728 |
| primary_location.source.is_core | True |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | International Journal of Apllied Mathematics |
| primary_location.source.host_organization | |
| primary_location.source.host_organization_name | |
| primary_location.source.host_organization_lineage | |
| primary_location.license | |
| primary_location.pdf_url | https://ijamjournal.org/ijam/publication/index.php/ijam/article/download/828/764 |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | International Journal of Applied Mathematics |
| primary_location.landing_page_url | https://doi.org/10.12732/ijam.v38i9s.828 |
| publication_date | 2025-11-03 |
| publication_year | 2025 |
| referenced_works_count | 0 |
| abstract_inverted_index.a | 3 |
| abstract_inverted_index.by | 12 |
| abstract_inverted_index.in | 16, 50 |
| abstract_inverted_index.of | 19, 27, 71 |
| abstract_inverted_index.on | 36 |
| abstract_inverted_index.we | 33 |
| abstract_inverted_index.The | 44 |
| abstract_inverted_index.and | 9, 30, 39, 47 |
| abstract_inverted_index.are | 54 |
| abstract_inverted_index.for | 63 |
| abstract_inverted_index.new | 61 |
| abstract_inverted_index.the | 17, 69 |
| abstract_inverted_index.This | 0, 58 |
| abstract_inverted_index.both | 28 |
| abstract_inverted_index.game | 10, 31, 72 |
| abstract_inverted_index.lens | 70 |
| abstract_inverted_index.link | 5 |
| abstract_inverted_index.sets | 38 |
| abstract_inverted_index.soft | 7, 20, 29, 37, 41, 51 |
| abstract_inverted_index.work | 59 |
| abstract_inverted_index.After | 23 |
| abstract_inverted_index.games | 15 |
| abstract_inverted_index.novel | 4 |
| abstract_inverted_index.opens | 60 |
| abstract_inverted_index.paper | 1 |
| abstract_inverted_index.define | 34 |
| abstract_inverted_index.games. | 43 |
| abstract_inverted_index.player | 56 |
| abstract_inverted_index.spaces | 53 |
| abstract_inverted_index.between | 6 |
| abstract_inverted_index.context | 18 |
| abstract_inverted_index.propose | 40 |
| abstract_inverted_index.spaces. | 22 |
| abstract_inverted_index.through | 68 |
| abstract_inverted_index.analysis | 67 |
| abstract_inverted_index.concepts | 26 |
| abstract_inverted_index.decision | 66 |
| abstract_inverted_index.pathways | 62 |
| abstract_inverted_index.topology | 8, 11 |
| abstract_inverted_index.dynamics. | 73 |
| abstract_inverted_index.exploring | 13 |
| abstract_inverted_index.openness, | 46 |
| abstract_inverted_index.topology, | 32 |
| abstract_inverted_index.introduces | 2 |
| abstract_inverted_index.presenting | 24 |
| abstract_inverted_index.modelingand | 65 |
| abstract_inverted_index.topological | 21, 52 |
| abstract_inverted_index.uncertainty | 64 |
| abstract_inverted_index.Banach-Mazur | 42 |
| abstract_inverted_index.convergence, | 45 |
| abstract_inverted_index.foundational | 25 |
| abstract_inverted_index.interactions. | 57 |
| abstract_inverted_index.strategy-based | 48 |
| abstract_inverted_index.Banach-Mazur-type | 14 |
| abstract_inverted_index.characterizations | 49 |
| abstract_inverted_index.investigatedthrough | 55 |
| abstract_inverted_index.game-theoreticoperations | 35 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 1 |
| citation_normalized_percentile.value | 0.83977614 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |