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Darban Jafaria, E., Chameh, R., Nasseri, S.H.. (1394). Revisit ordering on L-R fuzzy numbers and its application in fuzzy mathematical programming. , 1(4), 155-162.
E. Darban Jafaria; R. Chameh; S.H. Nasseri. "Revisit ordering on L-R fuzzy numbers and its application in fuzzy mathematical programming". , 1, 4, 1394, 155-162.
Darban Jafaria, E., Chameh, R., Nasseri, S.H.. (1394). 'Revisit ordering on L-R fuzzy numbers and its application in fuzzy mathematical programming', , 1(4), pp. 155-162.
Darban Jafaria, E., Chameh, R., Nasseri, S.H.. Revisit ordering on L-R fuzzy numbers and its application in fuzzy mathematical programming. , 1394; 1(4): 155-162.

Revisit ordering on L-R fuzzy numbers and its application in fuzzy mathematical programming

Journal of New Researches in Mathematics
همکاران ، دوره 1، شماره 4، اردیبهشت 2016، صفحه 155-162  XML اصل مقاله (254.8 K)
نویسندگان
E. Darban Jafaria1؛ R. Chameh1؛ S.H. Nasseri* 2
1Department of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
2Department of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Corresponding author: Email: nasseri@umz.ac.ir
چکیده
Ordering on fuzzy quantities have been attracted a wide domains of studies in fuzzy sets theory in the two last decades. In many practical situations as well as fuzzy mathematical programming, it is necessary to the decision makers consider L-R fuzzy numbers according to their aims. But in the most of methods which are presented to order fuzzy numbers, the authors have been considered a special kind of fuzzy numbers such as triangular fuzzy numbers, trapezoidal fuzzy numbers and etc. But as we know the L-R fuzzy numbers as a general kind of these numbers have not been discussed. Hence in this paper, we focus on a general L-R fuzzy number and propose a new approach to order them as an extension of the method which is given by Nasseri in [14]. For validity of the proposed method, we will illustrate this method based on a convenient examples which is appeared in the literature of fuzzy ordering. Furthermore, we emphasize that the proposed method will be useful for evaluating the optimality conditions in the fuzzy primal simplex algorithms and the other related algorithms such as the fuzzy dual simplex algorithm and the fuzzy two phase simplex algorithm, fuzzy transportation models, fuzzy interval linear programming and etc.

کلیدواژه‌ها
Fuzzy number؛ L-R fuzzy number؛ Fuzzy ordering؛ Fuzzy arithmetic؛ Fuzzy mathematical programming
مراجع

[1] S. Abbasbandy and B. Asady, Ranking of fuzzy numbers by sign distance, Information Sciences, 176 (2006) 2405- 2416.

[2] S. Abbasbandy and T. Hajjari, A new approach for ranking of trapezoidal fuzzy numbers, Computers & Mathematics with Applications, 57 (3) (2009) 413-419.

[3] J.F. Baldwin and N.C.F. Guild, Comparison of fuzzy sets on the same decision space, Fuzzy Sets and Systems, 2 (1979) 213-233.

[4] G. Bortolan and R. Degani, A review of some methods for ranking fuzzy subsets, Fuzzy Sets and Systems, 15(1) (1985) 1-19.

[5] S.H. Chen, Ranking fuzzy numbers with maximizing set and minimizing set, Fuzzy Sets and Systems, 17 (2) (1985) 113-129.

[6] S.J. Chen and C.L. Hwang, Fuzzy Multiple Attribute Decision Making, Springer, Berlin, (1992).

[7] C.H. Cheng, A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets and Systems 95 (1998) 307-317.

[8] F. Choobineh and H. Li, An index for ordering fuzzy numbers, Fuzzy Sets and Systems, 54 (1993) 287-294.

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