Standart Olmayan Tipten İnterval Değerli Fuzzy Sayıların Dizi Uzayları Üzerine

Bu çalışmada Dereceden Zweier matrisi olmak üzere ve ile gösterilen interval değerli bulanık sayıların sırasıyla Zweier sıfıra yakınsak, Zweier yakınsak ve Zweier sınırlı dizi kümeleri tanımlanarak bu kümelerin topolojik ve kapsama gibi önemli özellikleri ele alındı.

Anahtar Kelimeler:

İnterval değerli fuzzy sayı, fuzzy küme, fuzzy sayı, matris dönüşümü, zweier matrisi

On the Sequence Spaces of Interval Valued Fuzzy Numbers which are Nonstandart

In this article some topological and algebraic properties of spaces of and which are convergent to , convergent and bounded sequence spaces of interval valued fuzzy numbers are given, respectively. After that by taking a non-negative, regular Zweier matrix and , we have defined the sequence spaces of ve called Zweier null, Zweier convergent and Zweier bounded sequence sets of interval valued fuzzy numbers, respectively. Finally some topological and inclusion problems on these spaces are given.

Keywords:

Interval valued fuzzy number, fuzzy set, fuzzy number, matrix transformation, zweier matrix,

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Matloka M.,” Sequence of fuzzy numbers”, BUSEFAL 28, 28, 28-37, 1986. [2] Nanda S.,” On sequence spaces of fuzzy numbers”, Fuzzy Sets and Systems, 33, 123-126, 1989. [3] TaloÖ., Başar, F., “Determination of the duals of classical sets of sequences of fuzzy numbers related matrix transformations”, Computers and Mathematics with Applications, 58, 717-733, 2009. [4]
Hong D.H., Moon E.L., Kim J.D., “A note on the core of fuzzy numbers”, Fuzzy Sets and
Systems, 98,331-335, 1998. [5]
Gorzalczany, B., “Aproximate inference with interval valued fuzzy sets”, Proc. Polish Symp., On
interval and Fuzzy Math., Poznan, Poland, 89-95, 1983. [6]
Turksen B., “Interval valued fuzzy sets based on normal forms”, Fuzzy Sets and Systems, 20,191210,1986. [7]
Chen Shi-Jay, Chen Shyi-Ming, “Handling information filtering problems based on interval
valued fuzzy numbers”, Journal of the Chinese Institute of Engineers, 29, No. 1, pp. 83-96, 2006. [8]
Guijun W. and Xiaoping L., “The applications of interval valued fuzzy numbers and interval
distribution numbers”, Fuzzy Sets and Systems, 98 (1998), 331-335. [9]
Meenakshi A.R., Kaliraja M.,” Regular interval valued fuzzy matrices”, Advanced in Fuzzy
Mathematics, 5, 7-15, 2010. [10]
Şengönül M., Zararsız Z., “Some additions to the fuzzy convergent and fuzzy bounded sequence
spaces of fuzzy numbers”, Hindawi Publishing Corporation Abstract and Applied Analysis,
Volume 2011, Article ID: 837584, Doi:10.1155/2011/837584. [11]
Zadeh L. A., “Fuzzy Sets”, Information and Control., 8, 338-353, 1965. [12]
Interval Talks at the International Conference on Information Processing and Management of
Uncertainty in Knowledge-Based Sytstems, IPMU' 2006, Paris, France, July 2-7, 2006. [13]
Klir G., and Yuan B.,” Fuzzy Sets and Fuzzy Logic”, Prentice Hall PTR, New Jersey, 07458. [14]
Li C., “Distance between interval-valued fuzzy sets”, The 28th North American Fuzzy
Information Processing Society Annual Conference, Cincinnati, Ohio, USA, 2009.
Şengönül M., “The interval valued fuzzy sequence spaces”, (under comminication).
Şengönül M., “On the Zweier sequence spaces of fuzzy numbers”, (under comminication ).