Analyzing the existence of exponential trapezoidal fuzzy numbers and investigating a method for ranking exponential trapezoidal fuzzy quantities

سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 100

فایل این مقاله در 8 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_IJNAA-14-12_029

تاریخ نمایه سازی: 17 دی 1402

چکیده مقاله:

In ۲۰۰۰, exponential trapezoidal fuzzy numbers were defined for the first time by Chen and Lie [۳] without investigating the definition and properties of fuzzy numbers for them.  Therefore, in this paper first, some necessary definitions and the difference between fuzzy numbers and fuzzy quantities are presented. Then, the correctness of the definition of exponential trapezoidal fuzzy numbers is investigated. It is concluded that exponential trapezoidal fuzzy numbers do not satisfy general conditions of fuzzy numbers such as bounded amplitude and continuity. In fact, these are fuzzy quantities not fuzzy numbers. As a result, a ranking method is proposed for such quantities to be examined using common tools and test platforms that exist for ranking fuzzy quantities. Moreover, the strength and weaknesses of the method are reported.

کلیدواژه ها:

Uncertainty ، Fuzzy set ، Exponential trapezoidal fuzzy numbers ، Ranking fuzzy numbers

نویسندگان

N.A. Taghi-Nezhad

Department of Mathematics, Faculty of Basic Science, Gonbad Kavous University, Gonbad Kavous, Iran

Fatemeh Babakordi

Department of Mathematics, Faculty of Basic Science, Gonbad Kavous University, Gonbad Kavous, Iran

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • A. Baidya and U.K. Bera, Solid transportation problem under fully ...
  • C.C. Chen and H.C. Tang, Ranking nonnormal p-norm trapezoidal fuzzy ...
  • S.-H Chen and G.-C Li, Representation, Representation, ranking, and distance ...
  • S.K. Das, T. Mandal and D. Behera, A new approach ...
  • J. Dombi and T. Jonas, Ranking trapezoidal fuzzy numbers using ...
  • D. Dubois, and H. Prade, Towards fuzzy differential calculus. Part ...
  • P. Dutta, A straightforward advanced ranking approach of fuzzy numbers, ...
  • S. Dutta, S. Acharya and R. Mishra, Genetic algorithm approach ...
  • R. Ezzati, R. Enayati, A. Mottaghi and R. Saneifard, A ...
  • R. Ghanbari, K. Ghorbani-Moghadam, and N. Mahdavi-Amiri, A Direct Method ...
  • F.K. Goodarzi, N. Taghinezhad, and S. Nasseri, A new fuzzy ...
  • G. Gupta, A. Kumar and S.S. Appadoo, A note on ...
  • R. Hassanzadeh, I. Mahdavi, N.M.-A, and A. Tajdin, An α-cut ...
  • I.H. Hussein and Z. Saad Abood, Solving fuzzy games problems ...
  • S.M. Ingle and K.P. Ghadle, Solving FFLPP problem with hexagonal ...
  • R. Jain and K.P. Ghadle, Decision making in the presence ...
  • F. Khalili, H. Naseri, and N.A. Taghi-Nezhad, A new interactive ...
  • S.H. Naseri, F. Khalili, N. Taghi-Nezhad, and S. Mortezania, A ...
  • S.H. Naseri, N. Taghi-Nezhad, and A. Ebrahimnejad, A note on ...
  • S.H. Naseri, N.A. Taghi-Nezhad, and A. Ebrahimnejad A novel method ...
  • M. Naseri, J. Fathali, and N.A. Taghi-Nezhad, Fuzzy single facility ...
  • A. Pourabdollah, Fuzzy number value or defuzzified value; which one ...
  • S. Rezvani, Multiplication operation on trapezoidal fuzzy numbers, J. Phys. ...
  • S. Rezvani, A new approach ranking of exponential trapezoidal fuzzy ...
  • S. Rezvani, Ranking generalized exponential trapezoidal fuzzy numbers based on ...
  • S. Samanta and K. Basu, A prospective multi-attribute decision making-based ...
  • R. Saneifard and R. Saneifard, Defuzzification method for solving fuzzy ...
  • M.K. Sharma, N. Dhiman, Vandana and V.N. Mishra, Mediative fuzzy ...
  • N. Taghi-Nezhad, N. Naseri, H. Khalili, F. Goodarzi, and F. ...
  • N. Taghi-Nezhad and F. Taleshian, A solution approach for solving ...
  • N.A. Taghi-Nezhad, Proposing a new fuzzy ranking method (A case ...
  • N. Taghi-Nezhad, The p-median problem in fuzzy environment: Proving fuzzy ...
  • N. Taghi-Nezhad, S. Moradi and G. Karamali, Fuzzy facility location ...
  • F. Taleshian, J. Fathali and N.A. Taghi-Nezhad, Fuzzy majority algorithms ...
  • X. Wang and E.E. Kerre, Reasonable properties for the ordering ...
  • X. Wang and E.E. Kerre, Reasonable properties for the ordering ...
  • R.R. Yager, A procedure for ordering fuzzy subsets of the ...
  • J. Yao and K. Wu, Ranking fuzzy numbers based on ...
  • L.A. Yao, Fuzzy sets, Inf. Control ۸ (۱۹۶۵), ۳۳۸–۳۵۳ ...
  • نمایش کامل مراجع