Soft set theoretical approach to pseudo-BCI algebras

Zhang, Xiaohong; Park, Choonkil; Wu, Supeng

doi:10.3233/jifs-17777

Cited by 51 publications

(31 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the future, we will take the SVNWDBM and SVNWDGBM operator in other ways such as gene selection (Huang & Liang, ). In addition, we will also take Dombi BM into diverse fuzzy environment (Alcantud & Mathew, ; Hayat, Ali, Cao, Karaaslan, & Yang, ; Peng & Wang, ; Peng & Dai, a,b; Peng, Dai, & Garg, ; Peng & Garg, ; Peng & Liu, ; Peng & Selvachandran, ; Peng & Yang, , ; Peng, Yuan, & Yang, ; Wang, Wang, & Zhang, ; Zhan & Alcantud, ; Zhang, Park, & Wu, ).…”

Section: Resultsmentioning

confidence: 99%

Novel neutrosophic Dombi Bonferroni mean operators with mobile cloud computing industry evaluation

Peng

Smarandache

2019

Expert Systems

View full text Add to dashboard Cite

In the age of mobile cloud computing, we are confronted by mobility, diversity of network access types, frequent network disconnection and poor reliability, and security with complex structures. Mobile cloud computing industry decision making is crucially important for countries or societies to enhance the effectiveness and validity of leadership, which can greatly expedite industrialized and large‐scale development. In the case of mobile cloud computing industry decision evaluation, the indispensable issue arises serious inexactness, fuzziness, and ambiguity. Single‐valued neutrosophic set, disposing the indeterminacy portrayed by truth membership T, indeterminacy membership I, and falsity membership F, is a more viable and effective means to seize indeterminacy. The main purpose of the current paper is to investigate the novel operations on single‐valued neutrosophic number (SVNN) based on Dombi Bonferroni mean (DBM) and Dombi geometric Bonferroni mean (DGBM) operator, which have the enormous advantage of high flexibility with adjustable parameters. Moreover, we employ the DBM operator to present single‐valued neutrosophic DBM (SVNDBM) operator, single‐valued neutrosophic weighted DBM (SVNWDBM) operator, single‐valued neutrosophic DGBM (SVNDGBM), operator and single‐valued neutrosophic weighted DGBM (SVNWDGBM) operator for disposing with the aggregation of SVNNs and develop two multiple attribute decision making methods based on SVNWDBM and SVNWDGBM. The validity of algorithms are illustrated by a mobile cloud computing industry decision making issue, along with the sensitivity analysis of diverse parameters on the ranking. Finally, a comparison of the developed with the existing single‐valued neutrosophic decision making methods has been executed for displaying their effectiveness.

show abstract

Section: Resultsmentioning

confidence: 99%

Novel neutrosophic Dombi Bonferroni mean operators with mobile cloud computing industry evaluation

Peng

Smarandache

2019

Expert Systems

View full text Add to dashboard Cite

show abstract

“…The main results of this paper are described in Figure 3. As the next research direction, we will explore the structure of the combination of the neutrosophic set, fuzzy set, soft set, and algebra systems (see [36][37][38]). commutative AG-NET-Loop (or weak commutative AG-(l, l)-Loop) is commutative NETG (CNETG) and every AG-NET-loop is the disjoint union of its maximal subgroups.…”

Section: Discussionmentioning

confidence: 99%

The Decomposition Theorems of AG-Neutrosophic Extended Triplet Loops and Strong AG-(l, l)-Loops

Zhang

2019

Mathematics

Self Cite

View full text Add to dashboard Cite

In this paper, some new properties of Abel Grassmann‘s Neutrosophic Extended Triplet Loop (AG-NET-Loop) were further studied. The following important results were proved: (1) an AG-NET-Loop is weakly commutative if, and only if, it is a commutative neutrosophic extended triplet (NETG); (2) every AG-NET-Loop is the disjoint union of its maximal subgroups. At the same time, the new notion of Abel Grassmann’s (l, l)-Loop (AG-(l, l)-Loop), which is the Abel-Grassmann’s groupoid with the local left identity and local left inverse, were introduced. The strong AG-(l, l)-Loops were systematically analyzed, and the following decomposition theorem was proved: every strong AG-(l, l)-Loop is the disjoint union of its maximal sub-AG-groups.

show abstract

“…All these results are interesting for exploring the structure characterizations of NETG. As future research topics, we will discuss the integration of the related uncertainty theory, such as the combination of neutrosophic set, fuzzy set, rough set and logic algebras (see [23][24][25][26]).…”

Section: Discussionmentioning

confidence: 99%

On Homomorphism Theorem for Perfect Neutrosophic Extended Triplet Groups

et al. 2018

Self Cite

View full text Add to dashboard Cite

Some homomorphism theorems of neutrosophic extended triplet group (NETG) are proved in the paper [Fundamental homomorphism theorems for neutrosophic extended triplet groups, Symmetry 2018, 10(8), 321; doi:10.3390/sym10080321]. These results are revised in this paper. First, several counterexamples are given to show that some results in the above paper are not true. Second, two new notions of normal NT-subgroup and complete normal NT-subgroup in neutrosophic extended triplet groups are introduced, and their properties are investigated. Third, a new concept of perfect neutrosophic extended triplet group is proposed, and the basic homomorphism theorem of perfect neutrosophic extended triplet groups is established.

show abstract

Soft set theoretical approach to pseudo-BCI algebras

Cited by 51 publications

References 27 publications

Novel neutrosophic Dombi Bonferroni mean operators with mobile cloud computing industry evaluation

Novel neutrosophic Dombi Bonferroni mean operators with mobile cloud computing industry evaluation

The Decomposition Theorems of AG-Neutrosophic Extended Triplet Loops and Strong AG-(l, l)-Loops

On Homomorphism Theorem for Perfect Neutrosophic Extended Triplet Groups

Contact Info

Product

Resources

About