نوع مقاله : مقاله پژوهشی
نویسندگان
1 موسسه اموزش عالی غیر انتفاعی هشت بهشت
2 استاد گروه مدیریت صنعتی دانشگاه علامه طباطبایی
3 دانشجوی دکتری مدیریت تولید و عملیات دانشگاه علامه طباطبایی
4 کارشناسی ارشد مدیریت صنعتی دانشگاه علامه طباطبایی
چکیده
هرگاه عمل تصمیم گیری با چند گزینه و چند معیار روبرو باشد، می توان از روش فرایند تحلیل
استفاده کرد. این روش دارای یک ساختار سلسله مراتبی است و اساس آن بر (AHP) سلسله مراتبی
مقایسة زوجی معیارها و مقایسة زوجی گزینه ها )نسبت به هر معیار( نهفته است. برای محاسبة میزان
ناسازگاری ماتریس مقایسات زوجی و محاسبة میزان ناسازگاری ساختار سلسله مراتبی، دو الگوریتم
مجزا ارائه گردیده است. در این مقاله، این الگوریتم ها برای محاسبة مقدارهای ناسازگاری در فرایند
تحلیل سلسله مراتبی فازی توسعه داده شده و وزن گزینه ها نیز از بسط فازی روش های تقریبی به دست
آمده است. برای روشن شدن این روش یک مثال عددی نیز آورده شده است.
کلیدواژهها
عنوان مقاله [English]
Measuring pair wised comparisons matrix inconsistency ratio in fuzzy hierarchical structure
نویسندگان [English]
- Mohammad Hosein Arman 1
- Jamshid Salehi Sadaghiyani 2
- Sara Mojdehi 3
- Ali Nazarli 4
1
2
3
4
چکیده [English]
The Analytic Hierarchical Process (AHP) determines the relative
importance of a set of alternatives in a multi-criteria decision problem.
AHP has a hierarchial structure and based on pairwise comparisons of
the project alternatives as well as pairwise comparisons of the multi
criteria. Two separate algorithms have been presented for measuring
the inconsistency ratioes of pairwise comparisons matrix and
hierarchical structure. In this paper these algorithms and one of the
approximation methods, have been extended for measuring the
inconsistency ratioes and alternatives’ weights in fuzzy AHP. A
numerical example is used to illustrate these methods.
کلیدواژهها [English]
- Fuzzy Analytic Hierarchy Process
- fuzzy inconsistency ratio
- Fuzzy Ranking
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