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| Author | : Yushui Geng |
| Publisher | : Infinite Study |
| Total Pages | : 23 |
| Release | : |
| Genre | : |
| ISBN | : |
There are many practical decision-making problems in people’s lives, but the information given by decision makers (DMs) is often unclear and how to describe this information is of critical importance.
| Author | : XINDONG PENG |
| Publisher | : Infinite Study |
| Total Pages | : 17 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
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 ef ciently. 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.
| Author | : XINDONG PENG |
| Publisher | : Infinite Study |
| Total Pages | : 16 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
The undergraduate teaching audit and evaluation (UTAE) is critically important for 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 that 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.
| Author | : Qaisar Khan |
| Publisher | : Infinite Study |
| Total Pages | : 32 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
In this article, we first define some operational laws for interval neutrosophic numbers (INNs) based on Dombi TN and TCN and discuss several desirable properties of these operational rules. Secondly, we extend the PBM operator based on Dombi operations to develop an interval-neutrosophic Dombi PBM (INDPBM) operator, an interval-neutrosophic weighted Dombi PBM (INWDPBM) operator, an interval-neutrosophic Dombi power geometric Bonferroni mean (INDPGBM) operator and an interval-neutrosophic weighted Dombi power geometric Bonferroni mean (INWDPGBM) operator, and discuss several properties of these aggregation operators.
| Author | : Peide Liu |
| Publisher | : Infinite Study |
| Total Pages | : 26 |
| Release | : |
| Genre | : |
| ISBN | : |
Linguistic neutrosophic numbers (LNNs) can easily describe the incomplete and indeterminate information by the truth, indeterminacy, and falsity linguistic variables (LVs), and the Hamy mean (HM) operator is a good tool to deal with multiple attribute group decision making (MAGDM) problems because it can capture the interrelationship among the multi-input arguments.
| Author | : Florentin Smarandache |
| Publisher | : Infinite Study |
| Total Pages | : 210 |
| Release | : |
| Genre | : |
| ISBN | : |
This Special Issue presents original research papers that report on state-of-the-art and recent advancements in neutrosophic sets and logic in soft computing, artificial intelligence, big and small data mining, decision making problems, and practical achievements.
| Author | : Dong-Sheng Xu |
| Publisher | : Infinite Study |
| Total Pages | : 18 |
| Release | : |
| Genre | : |
| ISBN | : |
Recently, the TODIM has been used to solve multiple attribute decision making (MADM) problems. The single-valued neutrosophic sets (SVNSs) are useful tools to depict the uncertainty of the MADM.
| Author | : Jie Wang |
| Publisher | : Infinite Study |
| Total Pages | : 36 |
| Release | : |
| Genre | : |
| ISBN | : |
In this paper, we extend the Bonferroni mean (BM) operator, generalized Bonferroni mean (GBM) operator, dual generalized Bonferroni mean (DGBM) operator and dual generalized geometric Bonferroni mean (DGGBM) operator with 2-tuple linguistic neutrosophic numbers (2TLNNs) to propose 2-tuple linguistic neutrosophic numbers weighted Bonferroni mean (2TLNNWBM) operator, 2-tuple linguistic neutrosophic numbers weighted geometric Bonferroni mean (2TLNNWGBM) operator, generalized 2-tuple linguistic neutrosophic numbers weighted Bonferroni mean (G2TLNNWBM) operator, generalized 2-tuple linguistic neutrosophic numbers weighted geometric Bonferroni mean (G2TLNNWGBM) operator, dual generalized 2-tuple linguistic neutrosophic numbers weighted Bonferroni mean (DG2TLNNWBM) operator, and dual generalized 2-tuple linguistic neutrosophic numbers weighted geometric Bonferroni mean (DG2TLNNWGBM) operator.
| Author | : LE SUN |
| Publisher | : Infinite Study |
| Total Pages | : 33 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : |
Aggregation function is an important component in an information aggregation or information fusion system. Interrelationships usually exist between the input arguments (e.g., the criteria in the multicriteria decision making) of an aggregation function. In this paper, we make a comprehensive survey on the aggregation operators (AOs) that consider the argument interrelationships in crisp and fuzzy settings. In particular, we discuss the mechanisms of modeling the argument interrelationships of the Choquet integral (CI), the power average (PA), the Bonferroni mean (BM), the Heronian mean (HM), and the Maclaurin symmetric mean (MSM) operators, and introduce their extended (e.g., generalized or weighted) forms and their applications in different fuzzy sets. In addition, we compare these ve types of operators and summarize their advantages and disadvantages. Furthermore, we discuss the applications of these operators. Finally, we identify some future research directions in the AOs considering the argument interrelationships. The reviewed papers are mainly about the development of the CI, the PA, the BM, the HM, and the MSM in (fuzzy) MCDMs, most of which fall in the period of 20092018.
| Author | : Florentin Smarandache |
| Publisher | : MDPI |
| Total Pages | : 478 |
| Release | : 2019-04-04 |
| Genre | : Mathematics |
| ISBN | : 303897384X |
Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
