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Consideration of fuzzy zero based on transmission average | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 15، شماره 6، شهریور 2024، صفحه 349-353 اصل مقاله (326.08 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30722.4435 | ||
| نویسندگان | ||
| Fatemeh Babakordi* ؛ Nemat Allah Taghi-Nezhad | ||
| Department of Mathematics, Faculty of Science, Gonbad Kavous University, Gonbad Kavous, Iran | ||
| تاریخ دریافت: 16 بهمن 1401، تاریخ بازنگری: 24 فروردین 1402، تاریخ پذیرش: 15 اردیبهشت 1402 | ||
| چکیده | ||
| Fuzzy field and arithmetic operators based on transmission average (TA) and neutral member are dealt by Abbasi et al. \cite{2}. Many examples are exist such that based on their definition $ \tilde{A}.\tilde{0}_{\tilde{A}} \tilde{0}_{\tilde{A}}.\tilde{A}) $ is not equal to $ \tilde{0}_{\tilde{A}} $. Therefore, we investigate the conditions that $ \tilde{A}.\tilde{0}_{\tilde{A}}(=\tilde{0}_{\tilde{A}}.\tilde{A})=\tilde{0}_{\tilde{A}} $. Numerical examples show the applicability of theorems and mentioned problems. | ||
| کلیدواژهها | ||
| Transmission average؛ Fuzzy arithmetic؛ Fuzzy neutral element | ||
| مراجع | ||
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[1] F. Abbasi, T. Allahviranloo, and S. Abbasbandy, A new attitude coupled with fuzzy thinking to fuzzy rings and fields, J. Intell. Fuzzy Syst. 29 (2015), 851-–861. [2] S. Abdullah, M. Aslam, T.A. Khan, and M. Naeem, A new type of fuzzy normal subgroups and fuzzy cosets, J. Intell. Fuzzy Syst. 25 (2013), 37—47. [3] T. Allahviranloo and S.‘Abbasbandy, A new attitude coupled with the basic thinking to ordering for ranking fuzzy numbers, Int. J. Ind. Math. 8 (2016), no. 4, 365–375. [4] T. Allahviranloo, I. Perfilieva and F. Abbasi, A new attitude coupled with fuzzy thinking for solving fuzzy equations, Soft Comput. 22 (2018), 3077–3095. [5] F. Babakordi and M. Adabitabar Firozja, Solving fully fuzzy dual matrix system with optimization problem, Int. Ind. Math. 12 (2020), 109–119. [6] F. Babakordi and T. Allahviranloo, A Cramer method for solving fully fuzzy linear systems based on transmission average, Control Optim. Appl. Math. 2 (2022), 115—130. [7] D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980. [8] G. Gebray and B. Krishna Reddy, Fuzzy set field and fFuzzy metric, Adv. Fuzzy Syst. 2014 (2014), 15–15. [9] F. Khalili Goodarzi, N.A. Taghinezhad, and S.H. Nasseri, A new fuzzy approach to solve a novel model of open shop scheduling problem, Appl. Math. Phys. 76 (2014), 199-210. [10] G.J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice-Hall PTR, Upper Saddle River, 1995. [11] S. Markov, A non-standard subtraction of intervals, Serdica 3 (1977), 359—370. [12] S. Markov, On the algebra of intervals and convex bodies, J. Univer. Comput. Sci. 4 (1998), 34—47. [13] S.H. Nasseri, N.A. Taghi-Nezhad and A. Ebrahimnejad, A novel method for ranking fuzzy quantities using center of incircle and its application to a petroleum distribution center evaluation problem, Int. J. Ind. Syst. 27 (2017), no. 4, 457–484. [14] L. Stefanini, A generalization of Hukuhara difference and division for interval and fuzzy arithmetic, Fuzzy Sets Syst. 161 (2010), 1564–1584. [15] F. Taleshian, J. Fathali and N.A. Taghi-Nezhad, Fuzzy majority algorithms for the 1-median and 2-median problems on a fuzzy tree, Fuzzy Inf. Engin. 10 (2018), no. 2, 225–248. [16] G. Wenxiang and L. Tu, Fuzzy linear spaces, Fuzzy Sets Syst. 49 (1992), 377—380. | ||
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