محاسبات عددی فازی

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دنیای واقعی به‌طور معمول ساختار پیچیده ای دارند که به دلیل وجود ابهام و عدم قطعیت در تعریف و درک آن‌ها است. از زمانی که انسان توانست فکر کنده همواره با ابهام در مسایل مختلف اجتماعی، تکنیکی و اقتصادی مواجه بوده است. حتی اختراع کامپیوتر و توسعه‌ی کاربردی آن در تحلیل مسایل دنیای واقعی نیز نتوانست مشکل ابهام و عدم قطعیت را حل نماید. در بیان و تحلیل کامل یک مسیله نیاز به اطلاعات کافی و دقیق است. حال اگر به دلایل مختلف اطلاعات کافی و دقیق در دسترس نباشد چه باید کرد؟ پاسخ این سوال بهره‌گیری از ظرفیت استدلال تقریبی انسان است، قابلیتی که کامپیوتر از آن بی‌بهره است. انسان علی‌رغم اطلاعات نادقیق و ناکافی در مواجهه با مسایل پیچیده دنیای واقعی، رفتار و ماهیت دستگاه را به طور تقریبی درک و تحلیل می نماید. حال سوال اصلی این است: آیا راهی وجود دارد که کامپیوتر نیز همانند انسان بتواند به طور تقریبی مسایل را با اطلاعات نادقیق و ناکافی درک و تحلیل نماید؟ برای پاسخ به این سوال، به اصل ناسازگاری پروفسور لطفی‌‌زاده که در سال 1973 مطرح گردید، توجه نمایید: «هرچه میزان آگاهی از یک دستگاه افزایش یابد پیچیدگی دستگاه کاهش یافته و دقت درک و تحلیل دستگاه افزایش میابد. زمانی که پیچیدگی دستگاه کاهش یابد، دقت روش مدل‌سازی افزایش یافته و لذا ابزار مفیدی برای تحلیل دستگاه مهیا می شود.» با توجه به اهمیت نظریه‌ی مجموعه‌های فازی در حل مسایل آنالیز عددی عنوان محاسبات عددی فازی برای این مجموعه انتخاب و در هفت فصل تدوین شده است. این مجموعه می‌تواند مورد استفاده برای دانشجویان و دانش‌پژوهانی قرار گیرد که با مسایل آنالیز عددی روبرو هستند که در داده‌های این مسایل عدم قطعیت نمود پیدا می کند و از نوع داده‌های فازی می‌باشند",""],"pages_count":207,"keywords":"null","token":"c8ca314856e31b9b","created_at":"2018-09-11 14:48:11","updated_at":"2024-05-07 18:33:46","publisher_id":147,"deleted_at":null,"published_at":"2018-09-11 14:50:26","available_for_web":1,"publisher_title":"دانشگاه شهید باهنر 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