Abstract
A double hierarchy hesitant fuzzy linguistic term set (DHHFLT) is deemed as an effective and powerful linguistic expression which models complex linguistic decision information more accurately by using two different hierarchy linguistic term sets. The purpose of this paper is to propose a multi-attribute decision making method to tackle complex decision issues in which attribute values are represented as double hierarchy hesitant fuzzy linguistic numbers, and there are some extreme or unreasonable data in the attribute values. To do this, firstly, four double hierarchy hesitant fuzzy linguistic generalized power aggregation operators are introduced, including the double hierarchy hesitant fuzzy linguistic generalized power average (DHHFLGPA) operator, the double hierarchy hesitant fuzzy linguistic generalized power geometric (DHHFLGPG) operator, and their weighted forms. Thereafter, several favorable properties, as well as representative cases of the proposed operators, are investigated in detail. Moreover, by virtue of the proposed operators, a novel approach is developed for coping with multi-attribute decision making cases in the double hierarchy hesitant fuzzy linguistic context. Finally, an illustrated example is given to demonstrate the practical application of the presented approach, an availability verification is given to show its validity, and a comparative analysis is also conducted to highlight the advantages of the proposed approach.
Highlights
Multiple attribute decision making (MADM) occupies a significant position in modern decision science
Zadeh [10] first proposed the concept of fuzzy linguistic variable, and since various linguistic representation forms arose for the past few years, such as the linguistic models on account of type-2 fuzzy sets [11], 2-tuple linguistic mode [12], hesitant fuzzy linguistic term set (HFLTS) [13], probability linguistic term set [14], etc
0 ≤ αr ≤ 1; r = 1, 2, . . . , #L} be a DHHFL elements (DHHFLEs) and a hesitant fuzzy element (HFE), respectively, where #L is the amount of linguistic terms (LTs) in hSθ
Summary
Multiple attribute decision making (MADM) occupies a significant position in modern decision science. Despite the fact that DHHFLTS is pretty useful in handling situations where DMs hesitate between several complex LTs when presenting their views in the progress of decision-making, the extantDespite approaches withthat respect to the DHHFLTS cannotintake the support degree between two the fact. LTsfails when views the progress the extensions of the GPA operator cannot deal with the assessment values expressed in extant approaches with respect to the DHHFLTS cannot take the support degree between any two form. Motivatedand by fails the GPA operator, the focus of this paper to the stretch inputs into consideration to handle the presence of extreme values.is At samethe time, the operator to ofthe circumstance the DHHFLGPA operator and DHHFL extensions the DHHFLT.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
