Title : ( Hesitant fuzzy numbers with (α, k)-cuts in compact intervals and applications )
Authors: mahdi ranjbar taghi abad , Seyed Mohsen Miri , Sohrab Effati ,
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Abstract
In this paper, we propose a new definition of hesitant fuzzy numbers (HFNs) and study some essential properties of these numbers. We show (, k)-cuts that were discussed in the recent literature for hesitant fuzzy sets (HFSs), on HFNs have resulted in compact intervals. In the following, we propose a new binary operation on these numbers. It has shown that the outcome of the proposed operation is a HFN. In addition, a new hesitant fuzzy relationship for comparing two HFNs is given. Finally, some applications of these numbers are presented in two examples. For this purpose, we propose a new approach to solve linear programming with hesitant fuzzy parameters.
Keywords
, Hesitant fuzzy number, (a, k)-cut, Hesitant fuzzy linear programming
@article{paperid:1079447,
author = {Ranjbar Taghi Abad, Mahdi and Miri, Seyed Mohsen and Effati, Sohrab},
title = {Hesitant fuzzy numbers with (α, k)-cuts in compact intervals and applications},
journal = {Expert Systems with Applications},
year = {2020},
volume = {151},
number = {2},
month = {August},
issn = {0957-4174},
pages = {113363--113383},
numpages = {20},
keywords = {Hesitant fuzzy number; (a; k)-cut; Hesitant fuzzy linear programming},
}
%0 Journal Article
%T Hesitant fuzzy numbers with (α, k)-cuts in compact intervals and applications
%A Ranjbar Taghi Abad, Mahdi
%A Miri, Seyed Mohsen
%A Effati, Sohrab
%J Expert Systems with Applications
%@ 0957-4174
%D 2020
