Preference implication-based approach to ranking fuzzy numbers

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

Dombi J.; Jonas T.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2021 | Volume:18 | Issue:4 Page(s): 51-68

Download Full-Text

Persian Verion

View:

197

Download:

100

Cites:

Information Journal Paper

Title

Preference implication-based approach to ranking fuzzy numbers

Author(s)

Dombi J. | Jonas T. | Issue Writer Certificate

Keywords

Preference implicationQ2

preference measureQ2

trapezoidal fuzzy numbersQ2

strict order relationQ2

equivalence relationQ2

Abstract

Dombi and Baczy nski presented a new approach to the problem of implication operation by introducing the Preference implication, which has very advantageous properties. In this paper, it is presented how the Preference implication is connected with soft inequalities and with sigmoid functions. Utilizing this connection the Preference implication-based preference measure for two fuzzy numbers is introduced and its key properties, including the reciprocity, are described. Then, the exact expression for computing the new preference measure for trapezoidal fuzzy numbers is presented. Here, using the new preference measure, two crisp relations over trapezoidal fuzzy numbers are introduced. It is shown that one of them is a strict (but not a total) order relation, and the other one is an equivalence relation. The strict order relation can be used to rank comparable fuzzy numbers, while the equivalence relation, which we call the indifference relation, expresses that the order of some fuzzy numbers is indifferent. These two crisp relations can be used to rank a collection of trapezoidal fuzzy numbers. Lastly, the proposed ranking method is compared with some well-known existing fuzzy number ranking methods.

Cites

No record.

References

No record.

Cite

APA: Copy

Dombi, J., & Jonas, T.. (2021). Preference implication-based approach to ranking fuzzy numbers. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(4 ), 51-68. SID. https://sid.ir/paper/412166/en

Vancouver: Copy

Dombi J., Jonas T.. Preference implication-based approach to ranking fuzzy numbers. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(4 ):51-68. Available from: https://sid.ir/paper/412166/en

IEEE: Copy

J. Dombi, and T. Jonas, “Preference implication-based approach to ranking fuzzy numbers,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 4 , pp. 51–68, 2021, [Online]. Available: https://sid.ir/paper/412166/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops