Simplified neutrosophic harmonic averaging projection-based method for multiple attribute decision-making problems
International Journal of Machine Learning and CyberneticsPublished 31 October 2015
Jun Ye
Citations40
SJR quartileQ2
SJR score0.69
SNIP0.96
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
The main purpose of the paper is to present a simplified neutrosophic harmonic averaging projection measure and its multiple attribute decision making method with simplified neutrophic information and to demonstrate the application and effectiveness of the proposed projection measure method.
Abstract
A simplified neutrosophic set is a subclass of a neutrosophic set and includes the concepts of a single valued neutrosophic set and an interval neutrosophic set, which can be used in real science and engineering applications with the incomplete, indeterminate and inconsistent information which exists commonly in real situations. Then, projection measure is a very suitable tool for dealing with multiple attribute decision-making problems because it can consider not only the distance but also the included angle between objects evaluated. Therefore, the main purpose of the paper is to present a simplified neutrosophic harmonic averaging projection measure and its multiple attribute decision making method with simplified neutrosophic information. Through the harmonic averaging projection measure between each alternative and the ideal alternative, the ranking order of all alternatives can be determined and the best alternative can be easily obtained as well. Finally, an illustrative example demonstrates the application and effectiveness of the proposed projection measure method in a simplified neutrosophic multiple attribute decision-making environment.
Keywords
Decision SciencesMathematicsEngineering
viXraSingle Valued Neutrosophic Sets
1,332 Citations2010Haibin Wang, Florentín Smarandache +2 more
This work defines the settheoretic operators on an instance of neutrosophic set, and provides various properties of SVNS, which are connected to the operations and relations over SVNS.
Journal of Intelligent & Fuzzy SystemsA multicriteria decision-making method using aggregation operators for simplified neutrosophic sets
656 Citations2014Jun Ye
A multicriteria decision-making method is established in which the evaluation values of alternatives with respective to criteria are represented by the form of SNSs, and the ranking order of alternatives is performed through the cosine similarity measure.
International Journal of General SystemsMulticriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment
514 Citations2013Jun Ye
arXiv (Cornell University)Interval Neutrosophic Sets and Logic: Theory and Applications in Computing
454 Citations2005Rajshekhar Sunderraman, Haibin Wang +2 more
This work defines the set-theoretic operators on an instance of a neutrosophic set, and calls it an Interval NeutrosophIC Set (INS), and introduces a new logic system based on interval neutrosophile sets and proposed data model based on the extension of fuzzy data model and paraconsistent data model.
Journal of Intelligent & Fuzzy SystemsSimilarity measures between interval neutrosophic sets and their applications in multicriteria decision-making
425 Citations2014Jun Ye
The Hamming and Euclidean distances between interval neutrosophic sets (INSs) are defined and the similarity measures between INSs are proposed based on the relationship between similarity measures and distances.
International Journal of Systems ScienceSimplified neutrosophic sets and their applications in multi-criteria group decision-making problems
400 Citations2015Juan‐juan Peng, Jian‐qiang Wang +5 more
The novel operations of simplified neutrosophic numbers (SNNs) are defined and a comparison method based on the related research of intuitionistic fuzzy numbers is developed and some SNN aggregation operators are proposed.
Applied Mathematical ModellingSingle valued neutrosophic cross-entropy for multicriteria decision making problems
378 Citations2013Jun Ye
The cross entropy of SVNSs, called single valued neutrosophic cross entropy, is proposed as an extension of the cross entropy of fuzzy sets and a multicriteria decision-making method is established in which criteria values for alternatives are SVNSs.
The Scientific World JOURNALInterval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems
325 Citations2014Hong‐yu Zhang, Jian‐qiang Wang +1 more
The operations for INSs are defined and a comparison approach is put forward based on the related research of interval valued intuitionistic fuzzy sets (IVIFSs), and two interval neutrosophic number aggregation operators are developed.
Neural Computing and ApplicationsMultiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean
306 Citations2014Пэйдэ Лю, Yumei Wang
An approach is developed to solve the multiple attribute decision-making problems with SVNNs based on the SVNNWBM operator to demonstrate its practicality and effectiveness.
International Journal of Information Technology & Decision MakingPROJECTION MODELS FOR INTUITIONISTIC FUZZY MULTIPLE ATTRIBUTE DECISION MAKING
260 Citations2010Zeshui Xu, Hui Hu
The aim of this paper is to investigate the intuitionistic fuzzy multiple attribute decision-making problems where the attribute values are expressed in intuitionists fuzzy numbers or interval-valued intuitionism fuzzy numbers.
An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets
188 Citations2014uan-juan Penga, Jian-qiang Wanga +2 more
Neural Computing and ApplicationsAn outranking approach for multi-criteria decision-making problems with interval-valued neutrosophic sets
179 Citations2015Hong‐yu Zhang, Jian‐qiang Wang +1 more
A novel outranking approach for multi-criteria decision-making (MCDM) problems is proposed to address situations where there is a set of numbers in the real unit interval and not just a specific number with a neutrosophic set.
Applied Mathematical ModellingApproach to group decision making based on determining the weights of experts by using projection method
177 Citations2011Zhongliang Yue
A new approach for determining weights of experts in the group decision making problems via projection method, where the weight of expert is determined by the projection of individual decision on the ideal decision.
International Journal of Computational Intelligence SystemsMulti-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems
171 Citations2014Juan‐juan Peng, Jian‐qiang Wang +5 more
Multi-valued neutrosophic sets (MVNSs) are introduced, which allow the truth-membership, indeterminacy-membership and falsity-membership degree to have a set of crisp values between zero and one, respectively.
International Journal of Computational Intelligence SystemsAn Improved Weighted Correlation Coefficient Based on Integrated Weight for Interval Neutrosophic Sets and its Application in Multi-criteria Decision-making Problems
105 Citations2015Hong‐yu Zhang, Pu Ji +2 more
A new correlation coefficient measure is presented, which satisfies the requirement of this measure equaling one if and only if two interval neutrosophic sets (INSs) are the same, and an objective weight of INSs is presented to unearth and utilize deeper information that is uncertain.
Fuzzy Optimization and Decision MakingOn Method for Uncertain Multiple Attribute Decision Making Problems with Uncertain Multiplicative Preference Information on Alternatives
101 Citations2005Zeshui Xu
The uncertain multiple attribute decision making (UMADM) problems are investigated, and the concept of interval positive ideal point of alternatives (IPIPA) is introduced, and an approach based on IPIPA and projection to ranking alternatives is proposed.
Applied Mathematical ModellingAn approach to group decision making based on interval multiplicative and fuzzy preference relations by using projection
90 Citations2012Gai-li Xu, Fang Liu
A consensus model for group decision making with interval multiplicative and fuzzy preference relations based on two consensus criteria: a consensus measure which indicates the agreement between experts’ preference relations and a measure of proximity to find out how far the individual opinions are from the group opinion.
Applied Mathematical ModellingAn intuitionistic fuzzy projection-based approach for partner selection
71 Citations2013Zhongliang Yue
This study introduces an approach to partner selection with linguistic values and intuitionistic fuzzy information under a group decision-making environment using the projection technique.
International Journal of Information Technology & Decision MakingPROJECTION METHOD FOR UNCERTAIN MULTI-ATTRIBUTE DECISION MAKING WITH PREFERENCE INFORMATION ON ALTERNATIVES
70 Citations2004Zeshui Xu, DA Qing-li
This paper studies the uncertain multiple attribute decision making problems with preference information on alternatives (UMADM-PIA), in which the information on attribute weights is not precisely known, but value ranges can be obtained.
FilomatSimplified neutrosophic linguistic normalized weighted bonferroni mean operator and its application to multi-criteria decision-making problems
68 Citations2016Zhang‐peng Tian, Jing Wang +3 more
A method of multi-criteria decision-making that combines simplified neutrosophic linguistic sets and normalized Bonferroni mean operator to address the situations where the criterion values take the form of simplified neutrophic linguistic numbers and the criterion weights are known.
Computers & Industrial EngineeringA group decision making model with hybrid intuitionistic fuzzy information
64 Citations2015Zhongliang Yue, Yuying Jia
The TOPSIS (technique for order performance by similarity to an ideal solution) approach is extended to deal with hybrid intuitionistic fuzzy information, using a projection measure instead of a distance measure to establish separations between each alternative decision and its ideal decisions.
arXiv (Cornell University)Interval Neutrosophic Logics: Theory and Applications
64 Citations2004Haibin Wang, Florentín Smarandache +2 more
InformaticaA Projection Method for Multiple Attribute Group Decision Making with Intuitionistic Fuzzy Information
56 Citations2013Shouzhen Zeng, Tomas Baležentis +2 more
A new method to derive the weights of experts and rank the preference order of alternatives based on projection models and extends the developed model and algorithm to the multiple attribute group decision making problems with interval-valued intuitionistic fuzzy information.
International Journal of Machine Learning and CyberneticsMultiple attribute group decision making based on interval neutrosophic uncertain linguistic variables
48 Citations2015Jun Ye
A group decision-making method is established based on the INULWAA and INulWGA operators to solve multiple attribute group decision -making problems with interval neutrosophic uncertain linguistic information.
Zenodo (CERN European Organization for Nuclear Research)Another Form Of Correlation Coefficient Between Single Valued Neutrosophic Sets And Its Multiple Attribute Decision- Making Method
44 Citations2015Jun Ye
This work proposes another form of correlation coefficient between SVNSs and establishes a multiple attribute decision making method using the correlation coefficient of SV NSs under single valued neutrosophic environment so the ranking order of all alternatives can be determined and the best alternative can be easily identified.
Projection Model-Based Approaches to Intuitionistic Fuzzy Multi-Attribute Decision Making
9 Citations2012Zeshui Xu, Xiaoqiang Cai
Xu and Hu (2010) investigate intuitionistic fuzzy multi-attribute decision making problems where the attribute values are expressed in IFNs or IVIFNs, and establish two projection models to measure the similarity degrees between each alternative and the relative intuitionism fuzzy ideal solution.