Intuitionistic fuzzy reducible weighted Maclaurin symmetric means and their application in multiple-attribute decision making

2020

Scientia Iranica

The tourism mobile e-commerce service quality evaluation (TMESQE) is of great concern to enterprises for enriching the service content of the enterprise and improving its market competitiveness. The key issue arises tremendous vagueness and reciprocity for TMESQE. The Maclaurin symmetric mean (MSM), as a vital fusion approach, can capture the reciprocity between multiple given argument more effectually. Amount of weighted MSM (WMSM) has been presented for dealing various neutrosophic information integration issues because the arguments are hourly interoperable. However, these kinds of WMSM operators are out of the reducibility or idempotency. To handle two problems above, we introduce single-valued neutrosophic linguistic reducible WMSM (SVNLRWMSM) operator and single-valued neutrosophic linguistic reducible weighted dual MSM (SVNLRWDMSM) operator. In the meantime, the diverting properties and certain peculiar cases of developed operators are discussed. Whereafter, we explore two multi-criteria decision making (MCDM) algorithms based on SVNLRWMSM and SVNLRWDMSM for dealing the TMESQE issue, along with the sensitivity analysis of various values on final ordering. Conclusively, the comparison with some existing algorithms has been conducted for showing their availability.

“…In the sake of addressing the problems of idempotency and reducibility, Shi and Xiao [34] introduced reducible weighted dual MSM (RWDMSM) and reducible weighted MSM (RWMSM).…”

Section: Reducible Weighted Maclaurin Symmetric Meansmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Single-valued neutrosophic linguistic reducible weighted MSM for tourism mobile e-commerce service quality evaluation

2020

Scientia Iranica

“…. In order to solve the issues of idempotency and reducibility, Shi and Xiao [40] developed the reducible weighted MSM (RWMSM) and the reducible weighted dual MSM (RWDMSM) in the following.…”

Section: B Reducible Weighted Maclaurin Symmetric Meansmentioning

confidence: 99%

“…In other words, it is unconscionable that the weighted average value of some identical integrated parameters depends on the weight values. Inspired by reducible weighted MSM operator and reducible weighted dual MSM (RWDMSM) operator [40], we combine the above operators with SVNS to integrate single-valued neutrosophic information and handle single-valued neutrosophic MADM issues by considering the merits of both.…”

Section: Introductionmentioning

confidence: 99%

Neutrosophic Reducible Weighted Maclaurin Symmetric Mean for Undergraduate Teaching Audit and Evaluation

2019

IEEE Access

The undergraduate teaching audit and evaluation (UTAE) is critically important for the university to promote the establishment of a quality assurance system and improve the quality of teaching. In considering the case of UTAE, the essential question arises strong ambiguity and interaction. The Maclaurin symmetric mean (MSM), as a significant information integration tool, can seize the interrelation among multiple input values more effectively. A series of weighted MSMs have been developed to cope with diverse neutrosophic information aggregation issues by reason that the attribute variables are frequently desparate. Nevertheless, these weighted form of MSM operators is not idempotent. Moreover, the weight MSM cannot degrade into the MSM when their weights information is equivalent. In other words, it signifies without the reducibility. To resolve two issues, we develop the single-valued neutrosophic reducible weighted MSM (SVNRWMSM) operator and the single-valued neutrosophic reducible weighted dual MSM (SVNR-WDMSM) operator. Meanwhile, certain interesting properties and some special cases of the SVNRWMSM and SVNRWDMSM operators are explored in detail. Afterward, we develop two multiple attribute decisionmaking methods based on SVNRWMSM and SVNRWDMSM. The validity of algorithms is illustrated by an undergraduate teaching evaluation issue, along with the sensitivity analysis of diverse parameter values on the ranking. Finally, a comparison of the developed with the existing single-valued neutrosophic decisionmaking algorithms has been executed for displaying their efficiency. INDEX TERMS Single-valued neutrosophic set, aggregation operator, idempotency, reducible weighted MSM.

“…That is to say, it is illogical that the weighted average value of some uniform aggregated arguments rely on the weight values. Inspired by reducible weighted MSM operator and reducible weighted dual MSM (RWDMSM) operator [47], we unite them with INS to aggregate interval neutrosophic values and deal interval neutrosophic MADM problems by thinking about the virtues of both.…”

Section: Introductionmentioning

confidence: 99%

Interval Neutrosophic Reducible Weighted Maclaurin Symmetric Means With Internet of Medical Things (IoMt) Industry Evaluation

Dai

2019

IEEE Access

The Internet of Medical Things (IoMT) is a global infrastructure composing of plentiful applications and medical devices that are interconnected by ICT. In considering the problem of the IoMT industry evaluation, the requisite issue that concerns strong interaction and incertitude. The Maclaurin symmetric mean (MSM), as a resultful information concordant instrument, can capture the interrelation among multiple arguments more efficiently. The abundance of the weighted MSMs has been presented to manage the different uncertain information aggregation issues by reason that the attribute variables are frequently diverse. However, these existing weighted form of MSM operators fail to possess the fundamental properties of idempotency and reducibility. To solve the above issues, we explore the interval neutrosophic reducible weighted MSM (INRWMSM) operator and the interval neutrosophic reducible weighted dual MSM (INRWDMSM) operator. Moreover, momentous properties and some special cases of the INRWMSM and INRWDMSM operators are discussed in detail. Whereafter, we propose some multiple attribute decision making (MADM) algorithms based on INRWMSM and INRWDMSM. The availability of proposed algorithms is stated by an IoMT evaluation issue. Finally, a comparison of the developed with the existing interval neutrosophic decision making algorithms has been formed for showing their validity. INDEX TERMS IoMT, interval neutrosophic set, aggregation operator, idempotency, reducible weighted MSM.