[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-293746-105":59,"doc-detail-293746-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","triple-re-defined-indeterminate-neutrosophic-sets-for-personality-classification","Triple Re-Defined Indeterminate Neutrosophic Sets for Personality Classification","","Personality assessment commonly relies on forced-choice objective questionnaires, yet real self-rating produces uncertain and indeterminate feelings influenced by context, time pressure, prior experience, current emotions, and self-image. This work introduces Triple Re-Defined Indeterminate Neutrosophic Set (TRINS), a refined neutrosophic framework that represents imprecise, uncertain, inconsistent, and incomplete information with improved indeterminacy handling. Indeterminacy is classified into three membership-based forms leaning toward truth, indeterminacy membership, and leaning toward falsehood. The method supports Likert-scale-style testing and enables indeterminacy-based personality classification using the Open Extended Jung Type Scale, outperforming related single and double redefined approaches.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/triple-re-defined-indeterminate-neutrosophic-sets-for-personality-classification/293746/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/triple-re-defined-indeterminate-neutrosophic-sets-for-personality-classification/293746.png","ImageObject",300,407,{"name":92,"@type":93},"วิน","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-17",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Why are traditional personality tests insufficient for self-rated behavior?","Question",{"text":112,"@type":113},"They force dominant single choices, while self-rating reflects uncertainty and multiple degrees of variation shaped by circumstances, time spent, prior experience, emotions, and self-image.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does TRINS add to refined neutrosophic modeling?",{"text":117,"@type":113},"TRINS introduces a structured way to represent imprecise, uncertain, inconsistent, and incomplete information, with indeterminacy reclassified into three membership-oriented categories.",{"name":119,"@type":110,"acceptedAnswer":120},"How can TRINS be used in personality classification?",{"text":121,"@type":113},"The paper proposes an indeterminacy-based personality test that classifies personality using TRINS together with the Open Extended Jung Type Scale, aligning with Likert-scale usage.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},293746,1789668443,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":39,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":46,"preview_page_count":4},2336475104736,"https://ap-avatar.wpscdn.com/avatar/22000c4c5e0e5b17e70?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786591360781797222","Triple Re􀀂ned Indeterminate Neutrosophic Sets for Personality Classi􀀂cation  \nIlanthenral Kandasamy  \nSchool of Computer Science and Engineering VIT University, Vellore, India 632 014 Email: [ilanthenral.k@vit.ac.in](ilanthenral.k@vit.ac.in)  \nFlorentin Smarandache  \nDepartment of Mathematics University of New Mexico, USA  \nEmail: [fsmarandache@gmail.com](fsmarandache@gmail.com)  \nAbstract—Personality tests are most commonly objective type, where the users rate their behaviour. Instead of providing a single forced choice, they can be provided with more options. A person may not be in general capable to judge his/her behaviour very precisely and categorize it into a single category. Since it is self rating there is a lot of uncertain and indeterminate feelings involved. The results of the test depend a lot on the circumstances under which the test is taken, the amount of time that is spent, the past experience of the person, the emotion the person is feeling and the person’s self image at that time and so on.  \nIn this paper Triple Re􀀂ned Indeterminate Neutrosophic Set (TRINS) which is a type of the re􀀂ned neutrosophic set is introduced. It provides the additional possibility to represent with sensitivity and accuracy the imprecise, uncertain, inconsistent and incomplete information which are available in real world. More precision is provided in handling indeterminacy; by classifying indeterminacy (I) into three, based on membership; as indeterminacy leaning towards truth membership (IT ), indeterminacy membership (I) and indeterminacy leaning towards false membership (IF ). This kind of classi􀀂cation of indeterminacy is not feasible with the existing Single Valued Neutrosophic Set (SVNS), but it is a particular category of the re􀀂ned neutrosophic set (where each T, I, F can be re􀀂ned into T1 , T2 , . . . ; I1 , I2 , . . . ; F1 , F2 , . . . ). TRINS is better equipped at dealing indeterminate and inconsistent information, with more accuracy than SVNS and Double Re􀀂ned Indeterminate Neutrosophic Set (DRINS), which fuzzy sets and Intuitionistic Fuzzy Sets (IFS) are incapable of. TRINS can be used in any place where the Likert scale is used. Personality test usually make use of the Likert scale. In this paper a indeterminacy based personality test is introduced for the 􀀂rst time. Here personality classi􀀂cation is made based on the Open Extended Jung Type Scale test and TRINS.  \nI. INTRODUCTION  \nCarl Jung in his collected work [1] had theorized the eight psychological types based on two main attitude types: extroversion and introversion, two observing functions: intuition and sensation and two judging functions: feeling and thinking. Psychological types are Extraverted sensation, Introverted sensation, Extraverted intuition, Introverted intuition, Extraverted thinking, Introverted thinking, Extraverted feeling and Introverted feeling. The MyersBriggs Type Indicator (MBTI) [2], is based on the theory given by Carl Jung. The psychological variations are sorted into four contrary pairs, or”dichotomies”, that provides 16 feasible psychological types. The MBTI is a re􀀃ective self-analytic questionnaire designed to 􀀂nd the psychological inclinations of people’s view of the world and their decision making. These personality tests are  \nmostly objective in nature, where the test taker is forced to select a dominant choice. Quoting Carl Jung himself ”Thereis no such thing as a pure extrovert or a pure introvert. Such a man would be in the lunatic asylum.”, it is clear that there are degrees of variations, no person 􀀂ts into a category 100% . Since it is not feasible for a person to put down his answer as single choice in reality, without ignoring the other degrees of variation. It necessitates a tool which can give more than one choice to represent their personality. The choice also depends highly on the situation and circumstance the individual faces at that time,  \nFuzzy set theory introduced by Zadeh (1965) [3] proposes a constructive ","cbCaivIyLj7UKrG1","https://ap.wps.com/l/cbCaivIyLj7UKrG1","pdf",113877,"English","# Abstract\n# Introduction\n## Background on personality typing and MBTI\n## Fuzzy, intuitionistic fuzzy, and interval-valued models\n## Neutrosophic sets and single-valued neutrosophic sets\n## Motivation for refined indeterminacy modeling","[{\"question\":\"Why are traditional personality tests insufficient for self-rated behavior?\",\"answer\":\"They force dominant single choices, while self-rating reflects uncertainty and multiple degrees of variation shaped by circumstances, time spent, prior experience, emotions, and self-image.\"},{\"question\":\"What does TRINS add to refined neutrosophic modeling?\",\"answer\":\"TRINS introduces a structured way to represent imprecise, uncertain, inconsistent, and incomplete information, with indeterminacy reclassified into three membership-oriented categories.\"},{\"question\":\"How can TRINS be used in personality classification?\",\"answer\":\"The paper proposes an indeterminacy-based personality test that classifies personality using TRINS together with the Open Extended Jung Type Scale, aligning with Likert-scale usage.\"}]","Triple Re-Defined Indeterminate Neutrosophic Sets for Personality Classification | PDF"]