{"id":3783,"date":"2024-12-30T14:08:14","date_gmt":"2024-12-30T14:08:14","guid":{"rendered":"https:\/\/journal.ziu-university.net\/?p=3783"},"modified":"2024-12-30T14:08:19","modified_gmt":"2024-12-30T14:08:19","slug":"%d8%a7%d9%84%d9%85%d8%b3%d8%aa%d9%82%d8%a8%d9%84-%d8%a7%d9%84%d8%b6%d8%a8%d8%a7%d8%a8%d9%8a-%d8%a7%d8%b3%d8%aa%d9%83%d8%b4%d8%a7%d9%81-%d8%a5%d9%85%d9%83%d8%a7%d9%86%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84","status":"publish","type":"post","link":"https:\/\/journal.ziu.edu.sy\/?p=3783","title":{"rendered":"\u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644 \u0627\u0644\u0636\u0628\u0627\u0628\u064a: \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0625\u0645\u0643\u0627\u0646\u064a\u0627\u062a \u0627\u0644\u0648\u0638\u0627\u0626\u0641 \u0627\u0644\u0636\u0628\u0627\u0628\u064a\u0629"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\" dir=\"ltr\"><strong>Abstract<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\" dir=\"ltr\">The majority of the tools we have previously utilized for formal modeling, reasoning, and computing exhibit clarity, predictability, and precision. When we say &#8220;crisp,&#8221; we are referring to a response that is limited to either a clear yes or no, without any ambiguity or shades of gray. In classical binary logic, a proposition can be either true or false, but not both simultaneously. In the field of set theory, an element can be classified as either a member of a set or not. In the field of optimization, a solution can be classified as either feasible or infeasible. Precision refers to the accurate representation of the parameters of a model, reflecting either our perception of the phenomenon being modeled or the functioning of the actual system being represented. Precision often entails a clear and unambiguous model.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" dir=\"ltr\">This study primarily focuses on three main topics. Firstly, it provides a comprehensive treatment of fuzzy sets of type n, where n is an integer greater than or equal to 1. This includes an example, mathematical discussions, and real-life interpretations of the underlying mathematical concepts. Secondly, it explores the potentials and connections between fuzzy logic and probability logic, which have not been previously discussed in a single document. Lastly, it examines the representation of random and fuzzy uncertainties and ambiguities that arise in data-driven systems.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" dir=\"ltr\"><strong>Keywords: Fuzzy sets, fuzzy logic, probability, and members of elements<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0627\u0644\u0645\u0644\u062e\u0635<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u064f\u0638\u0647\u0631 \u063a\u0627\u0644\u0628\u064a\u0629 \u0627\u0644\u0623\u062f\u0648\u0627\u062a \u0627\u0644\u062a\u064a \u0627\u0633\u062a\u062e\u062f\u0645\u0646\u0627\u0647\u0627 \u0633\u0627\u0628\u0642\u064b\u0627 \u0644\u0644\u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0631\u0633\u0645\u064a\u0629 \u0648\u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0648\u0627\u0644\u062d\u0648\u0633\u0628\u0629 \u0627\u0644\u0648\u0636\u0648\u062d \u0648\u0627\u0644\u0642\u062f\u0631\u0629 \u0639\u0644\u0649 \u0627\u0644\u062a\u0646\u0628\u0624 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\u0645\u0645\u0627 \u064a\u0639\u0643\u0633 \u0625\u0645\u0627 \u0625\u062f\u0631\u0627\u0643\u0646\u0627 \u0644\u0644\u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u062a\u064a \u064a\u062a\u0645 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0623\u0648 \u0623\u062f\u0627\u0621 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0641\u0639\u0644\u064a \u0627\u0644\u0630\u064a \u064a\u062a\u0645 \u062a\u0645\u062b\u064a\u0644\u0647. \u0648\u063a\u0627\u0644\u0628\u0627\u064b \u0645\u0627 \u062a\u0633\u062a\u0644\u0632\u0645 \u0627\u0644\u062f\u0642\u0629 \u0646\u0645\u0648\u0630\u062c\u0627\u064b \u0648\u0627\u0636\u062d\u0627\u064b \u0644\u0627 \u0644\u0628\u0633 \u0641\u064a\u0647.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u062a\u0631\u0643\u0632 \u0647\u0630\u0647 \u0627\u0644\u062f\u0631\u0627\u0633\u0629 \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u0623\u0648\u0644 \u0639\u0644\u0649 \u062b\u0644\u0627\u062b\u0629 \u0645\u0648\u0627\u0636\u064a\u0639 \u0631\u0626\u064a\u0633\u064a\u0629. \u0623\u0648\u0644\u0627\u064b\u060c \u062a\u0642\u062f\u0645 \u0645\u0639\u0627\u0644\u062c\u0629 \u0634\u0627\u0645\u0644\u0629 \u0644\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0636\u0628\u0627\u0628\u064a\u0629 \u0645\u0646 \u0627\u0644\u0646\u0648\u0639 n\u060c \u062d\u064a\u062b n \u0639\u062f\u062f \u0635\u062d\u064a\u062d \u0623\u0643\u0628\u0631 \u0645\u0646 \u0623\u0648 \u064a\u0633\u0627\u0648\u064a 1. \u064a\u062a\u0636\u0645\u0646 \u0630\u0644\u0643 \u0645\u062b\u0627\u0644\u0627\u064b \u0648\u0645\u0646\u0627\u0642\u0634\u0627\u062a \u0631\u064a\u0627\u0636\u064a\u0629 \u0648\u062a\u0641\u0633\u064a\u0631\u0627\u062a \u0648\u0627\u0642\u0639\u064a\u0629 \u0644\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629. \u062b\u0627\u0646\u064a\u0627\u064b\u060c \u064a\u0633\u062a\u0643\u0634\u0641 \u0627\u0644\u0643\u062a\u0627\u0628 \u0627\u0644\u0625\u0645\u0643\u0627\u0646\u0627\u062a \u0648\u0627\u0644\u0631\u0648\u0627\u0628\u0637 \u0628\u064a\u0646 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0636\u0628\u0627\u0628\u064a \u0648\u0645\u0646\u0637\u0642 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\u060c \u0648\u0627\u0644\u062a\u064a \u0644\u0645 \u062a\u062a\u0645 \u0645\u0646\u0627\u0642\u0634\u062a\u0647\u0627 \u0645\u0646 \u0642\u0628\u0644 \u0641\u064a \u0648\u062b\u064a\u0642\u0629 \u0648\u0627\u062d\u062f\u0629. \u0648\u0623\u062e\u064a\u0631\u0627\u064b\u060c \u064a\u0628\u062d\u062b \u0641\u064a \u062a\u0645\u062b\u064a\u0644 \u0623\u0648\u062c\u0647 \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646 \u0648\u0627\u0644\u063a\u0645\u0648\u0636 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0648\u0627\u0644\u0636\u0628\u0627\u0628\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0646\u0634\u0623 \u0641\u064a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062a\u064a \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u0644\u0643\u0644\u0645\u0627\u062a \u0627\u0644\u0645\u0641\u062a\u0627\u062d\u064a\u0629: \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0636\u0628\u0627\u0628\u064a\u0629\u060c \u0648\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0636\u0628\u0627\u0628\u064a\u060c \u0648\u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629\u060c \u0648\u0623\u0639\u0636\u0627\u0621 \u0627\u0644\u0639\u0646\u0627\u0635\u0631<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0627\u0639\u062f\u0627\u062f : <\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Omalkhear Salem ALmabrwk Bleblou<\/strong><\/td><\/tr><tr><td><strong>\u0627\u0644\u062f\u0643\u062a\u0648\u0631\u0629 \u0627\u0645 \u0627\u0644\u062e\u064a\u0631 \u0633\u0627\u0644\u0645 \u0627\u0644\u0645\u0628\u0631\u0648\u0643<\/strong><\/td><\/tr><tr><td><strong>\u0627\u0633\u062a\u0627\u0630 \u0645\u0633\u0627\u0639\u062f \u0631\u064a\u0627\u0636\u064a\u0627\u062a -\u062c\u0628\u0631 \u0645\u062c\u0631\u062f<\/strong><strong>\u0643\u0644\u064a\u0629 \u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u062d\u064a\u0629-\u0627\u0644\u0639\u062c\u064a\u0644\u0627\u062a-\u062c\u0627\u0645\u0639\u0629 \u0627\u0644\u0632\u0627\u0648\u064a\u0629-\u0644\u064a\u0628\u064a\u0627<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\r\n\t\t<div class=\"review_wrap\">\r\n\t\t\t<div id=\"review-box\" class=\"review-box review-bottom review-stars\">\r\n\t\t\t\t<div class=\"review-summary\">\r\n\t\t\t\t\t<div class=\"review-final-score\">\r\n\t\t\t\t\t\t<span title=\"\" class=\"post-large-rate stars-large\"><span style=\"width:0%\"><\/span><\/span>\r\n\t\t\t\t\t\t<h4><\/h4>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\r\n\t\t\t\t<div class=\"review-short-summary\"><a href=\"https:\/\/drive.google.com\/file\/d\/1J7EHIPnobMoCLSy76-kQCABRRs-06T3Z\/view?usp=drive_link\" class=\"taq-button taq-medium taq-square taq-flat\" style=\"background-color:#a0ce4e\" target=\"_blank\"><i class=\"fa fa-download\"><\/i><span class=\"button-text\">\u062a\u062d\u0645\u064a\u0644<\/span><\/a>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>\r\n\t\t\t\r\n\t\t\t<div class=\"user-rate-wrap\">\r\n\t\t\t\t<span class=\"user-rating-text\">\r\n\t\t\t\t\t<strong>\u062a\u0642\u064a\u064a\u0645 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0648\u0646: <\/strong>\r\n\t\t\t\t\t<span class=\"taq-score\"><\/span>\r\n\t\t\t\t\t<small>\u0643\u0646 \u0623\u0648\u0644 \u0627\u0644\u0645\u0635\u0648\u062a\u0648\u0646 !<\/small>\r\n\t\t\t\t<\/span>\r\n\r\n\t\t\t\t<div data-rate=\"0\" data-id=\"3783\" class=\"user-rate taq-user-rate-active\">\r\n\t\t\t\t\t<span class=\"user-rate-image post-large-rate stars-large\">\r\n\t\t\t\t\t\t<span style=\"width:0%\"><\/span>\r\n\t\t\t\t\t<\/span>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t<div class=\"taq-clear\"><\/div>\r\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Abstract The majority of the tools we have previously utilized for formal modeling, reasoning, and computing exhibit clarity, predictability, and precision. When we say &#8220;crisp,&#8221; we are referring to a response that is limited to either a clear yes or no, without any ambiguity or shades of gray. In classical binary logic, a proposition can &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[131],"tags":[],"class_list":["post-3783","post","type-post","status-publish","format-standard","","category----2"],"_links":{"self":[{"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/posts\/3783","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3783"}],"version-history":[{"count":1,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/posts\/3783\/revisions"}],"predecessor-version":[{"id":3784,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/posts\/3783\/revisions\/3784"}],"wp:attachment":[{"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3783"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3783"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3783"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}