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Some properties and characterizations of a pre-local function are explored Pre-compatible spaces are also defined and investigated. Moreover, by using A^(p^* )(I, τ) we introduce an operator ψ: P(X)→τ satisfying ψ(A) = X-〖(X-A)〗^(p^* )for each A ∈ P(X) and we discuss some characterizations this operator by use pre-open sets.","author":[{"@context":"https://schema.org","@type":"Person","name":"International Journal of Advanced Science and Engineering (IJASE)"}],"contributor":[],"dateCreated":"2021-08-09","dateModified":"2021-08-09","datePublished":"2021-01-01","headline":"Pre-Local Function in Ideal Topological Spaces","inLanguage":"en","keywords":["Fuzzy Logic"],"locationCreated":null,"publication":"Int. J. Adv. Sci. 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window.loswp.showSignupCaptcha = false window.loswp.willEdgeCache = false; window.loswp.work = {"work":{"id":50812452,"created_at":"2021-08-09T22:55:05.975-07:00","from_world_paper_id":null,"updated_at":"2022-11-10T23:15:24.474-08:00","_data":{"doi":"10.29294/IJASE.8.1.2021.2085-2089","abstract":"The aim of this paper is to introduce the notation of pre-local function A^(p^* )(I, τ) by using pre-open sets in an ideal topological space (X, τ, I). Some properties and characterizations of a pre-local function are explored Pre-compatible spaces are also defined and investigated. Moreover, by using A^(p^* )(I, τ) we introduce an operator ψ: P(X)→τ satisfying ψ(A) = X-〖(X-A)〗^(p^* )for each A ∈ P(X) and we discuss some characterizations this operator by use pre-open sets.","publication_date":"2021,,","publication_name":"Int. J. Adv. Sci. Eng."},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Pre-Local Function in Ideal Topological Spaces","broadcastable":true,"draft":false,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [28791139]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "control"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 'edu.academia.applesignon';</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":68678167,"attachmentType":"pdf"}"><img alt="First page of “Pre-Local Function in Ideal Topological Spaces”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/68678167/mini_magick20210809-12953-1lyalpj.png?1628574939" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/assets/single_work_splash/adobe.icon-574afd46eb6b03a77a153a647fb47e30546f9215c0ee6a25df597a779717f9ef.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Pre-Local Function in Ideal Topological Spaces</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="28791139" href="https://mahendra.academia.edu/InternationalJournalofAdvancedScienceandEngineeringIJASE"><img alt="Profile image of International Journal of Advanced Science and Engineering (IJASE)" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/28791139/8740439/9761840/s65_ijase.ijase.jpg_oh_03252cfbcc4dfcd87b1bd05018b79377_oe_55d61038___gda___1440912954_a23dfc1696ad453bff2a0606f3956889" />International Journal of Advanced Science and Engineering (IJASE)</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">2021, Int. J. Adv. Sci. Eng.</p></div><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">The aim of this paper is to introduce the notation of pre-local function A^(p^* )(I, τ) by using pre-open sets in an ideal topological space (X, τ, I). Some properties and characterizations of a pre-local function are explored Pre-compatible spaces are also defined and investigated. Moreover, by using A^(p^* )(I, τ) we introduce an operator ψ: P(X)→τ satisfying ψ(A) = X-〖(X-A)〗^(p^* )for each A ∈ P(X) and we discuss some characterizations this operator by use pre-open sets.</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--work-card","attachmentId":68678167,"attachmentType":"pdf","workUrl":"https://www.academia.edu/50812452/Pre_Local_Function_in_Ideal_Topological_Spaces"}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--work-card","attachmentId":68678167,"attachmentType":"pdf","workUrl":"https://www.academia.edu/50812452/Pre_Local_Function_in_Ideal_Topological_Spaces"}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div></div><div data-auto_select="false" data-client_id="331998490334-rsn3chp12mbkiqhl6e7lu2q0mlbu0f1b" data-doc_id="68678167" data-landing_url="https://www.academia.edu/50812452/Pre_Local_Function_in_Ideal_Topological_Spaces" data-login_uri="https://www.academia.edu/registrations/google_one_tap" data-moment_callback="onGoogleOneTapEvent" id="g_id_onload"></div><div class="ds-top-related-works--grid-container"><div class="ds-related-content--container ds-top-related-works--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="0" data-entity-id="71722498" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/71722498/Preclosure_operator_and_its_applications_in_general_topology">Preclosure operator and its applications in general topology</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="45104431" href="https://independent.academia.edu/SaeidJafari5">Saeid Jafari</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2018</p><p class="ds-related-work--abstract ds2-5-body-sm">In this paper, we show that a pointwise symmetric pre-isotonic preclosure function is uniquely determined the pairs of sets it separates. 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js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Semi-precontinuous functions and properties of generalized semi-preclosed sets in topological spaces","attachmentId":47551371,"attachmentType":"pdf","work_url":"https://www.academia.edu/27292116/Semi_precontinuous_functions_and_properties_of_generalized_semi_preclosed_sets_in_topological_spaces","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/27292116/Semi_precontinuous_functions_and_properties_of_generalized_semi_preclosed_sets_in_topological_spaces"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div 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Some properties and characterizations of semi generalized local functions are explored.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Semi Generalized Local Functions in Ideal Generalized Topological Spaces","attachmentId":87368378,"attachmentType":"pdf","work_url":"https://www.academia.edu/81262818/Semi_Generalized_Local_Functions_in_Ideal_Generalized_Topological_Spaces","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/81262818/Semi_Generalized_Local_Functions_in_Ideal_Generalized_Topological_Spaces"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--sticky-ctas","attachmentId":68678167,"attachmentType":"pdf","workUrl":null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--sticky-ctas","attachmentId":68678167,"attachmentType":"pdf","workUrl":null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_68678167" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. 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