Converting Z-number to Fuzzy Number using Fuzzy Expected Value

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Volume 12, Issue 4

Mahdieh Akhbari

J. Info. Comput. Sci. , 12 (2017), pp. 291-303.

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Abstract

In order to deal with uncertain information of real-world, in 2011 Zadeh suggested the concept of a Z-number, as an ordered pair of fuzzy numbers (A ̃,B ̃) that describes the restriction and the reliability of the evaluation. Due to the limitation of its basic properties, converting Z-number to classical fuzzy number is rather significant for application. In this paper, we will calculate fuzzy expected value of a Z-number with assuming uniform distribution and linear membership functions. This fuzzy expected value can be used instead of Z-number in applications. An Example is used to illustrate the procedure of the proposed approach.

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@Article{JICS-12-291, author = {Mahdieh Akhbari}, title = {Converting Z-number to Fuzzy Number using Fuzzy Expected Value}, journal = {Journal of Information and Computing Science}, year = {2017}, volume = {12}, number = {4}, pages = {291--303}, abstract = {In order to deal with uncertain information of real-world, in 2011 Zadeh suggested the concept of a Z-number, as an ordered pair of fuzzy numbers (A ̃,B ̃) that describes the restriction and the reliability of the evaluation. Due to the limitation of its basic properties, converting Z-number to classical fuzzy number is rather significant for application. In this paper, we will calculate fuzzy expected value of a Z-number with assuming uniform distribution and linear membership functions. This fuzzy expected value can be used instead of Z-number in applications. An Example is used to illustrate the procedure of the proposed approach. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22472.html} }

TY - JOUR T1 - Converting Z-number to Fuzzy Number using Fuzzy Expected Value AU - Mahdieh Akhbari JO - Journal of Information and Computing Science VL - 4 SP - 291 EP - 303 PY - 2017 DA - 2017/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22472.html KW - AB - In order to deal with uncertain information of real-world, in 2011 Zadeh suggested the concept of a Z-number, as an ordered pair of fuzzy numbers (A ̃,B ̃) that describes the restriction and the reliability of the evaluation. Due to the limitation of its basic properties, converting Z-number to classical fuzzy number is rather significant for application. In this paper, we will calculate fuzzy expected value of a Z-number with assuming uniform distribution and linear membership functions. This fuzzy expected value can be used instead of Z-number in applications. An Example is used to illustrate the procedure of the proposed approach.

Mahdieh Akhbari. (2017). Converting Z-number to Fuzzy Number using Fuzzy Expected Value. Journal of Information and Computing Science. 12 (4). 291-303. doi:

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