سیستم های فازی و کاربردها

سیستم های فازی و کاربردها

اندازه فاصله و شباهتی نوین برای مجموعه های فازی شهودی بازه‌ای-مقدار

نوع مقاله : مقاله پژوهشی

نویسندگان
1 گروه ریاضی، دانشکده علوم پایه، دانشگاه قم، قم، ایران
2 دانشگاه صنعتی خاتم الانبیاء بهبهان
10.22034/jfsa.2024.433087.1193
چکیده
اندازه فاصله، اندازه شباهت و اندازه آنتروپی دستاوردهای مفیدی در اختیار تصمیم گیرندگان تصمیم‌گیری در مورد مسائلی با داده‌های غیرقطعی قرار می دهد. تمرکز اصلی این پژوهش بر معرفی یک اندازه جدید برای اعداد فازی شهودی بازه‌ای-مقدار است. بسیاری از اندازه های تعریف شده دارای نواقصی همچون جامع نبودن، حجم بالای محاسبات و کاربرد در موارد محدود هستند. از این رو هدف اصلی این پژوهش معرفی یک اندازه فاصله و شباهت با رویکردی نوین و کاهش یافته برای اعداد فازی شهودی بازه ای مقدار می باشد. پس از ارائه ساختار و شاخص های موثر در اندازه پیشنهادی، مشاهده می شود که در اندازه فاصله تعریف شده حجم محاسبات به وضوح کاهش یافته است. علاوه براین، اثبات برقراری خواص اندازه برای آن، به درستی نشان داده شده است. ساختار اندازه ارائه شده قابلیت ترکیب با فرآیند مربوط به مسائل تصمیم گیری چندمعیاره و تشخیص پزشکی را دارد. برای این منظور ضمن ارائه الگوریتم هایی ترکیبی، با ذکر چندین مثال مطرح کاربردهایی کارا از آن آورده شده است.
کلیدواژه‌ها
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دوره 6، شماره 2 - شماره پیاپی 13
بیانیه دسترسی آزاد
دی 1402
صفحه 237-267

  • تاریخ دریافت 08 بهمن 1402
  • تاریخ بازنگری 16 اردیبهشت 1403
  • تاریخ پذیرش 30 خرداد 1403