Plithogenic n-Super Hypergraph in Novel Multi-Attribute Decision Making

An optimal decision-making environment demands feasible Multi-Attribute Decision-Making methods. Plithogenic n – Super Hypergraph introduced by Smarandache is a novel concept and it involves many attributes. This article aims to bridge the concept of Plithogenic n-Super Hypergraph in the vicinity of optimal decision making. This research work introduces the novel concepts of enveloping vertex, super enveloping vertex, dominant enveloping vertex, classification of the dominant enveloping vertex (input, intervene, output dominant enveloping vertices), plithogenic connectors. An application of Plithogenic n-super hypergraph in making optimum decisions is discussed under various decision-making scenarios. Several insights are drawn from this research work and will certainly benefit the decision-makers to overcome the challenges in building decisions.

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Multi-Attribute Decision Making Based on Probabilistic Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators

Symmetry ◽

10.3390/sym11050623 ◽

2019 ◽

Vol 11 (5) ◽

pp. 623 ◽

Cited By ~ 4

Author(s):

Songtao Shao ◽

Xiaohong Zhang ◽

Quan Zhao

Keyword(s):

Decision Making ◽

Aggregation Operators ◽

Decision Makers ◽

Third Party ◽

Optimal Decision ◽

Third Party Logistics ◽

The Third Party Logistics ◽

External Space ◽

The Third ◽

Multi Attribute Decision Making

Take the third-party logistics providers (3PLs) as an example, according to the characteristics of correlation between attributes in multi-attribute decision-making, two Choquet aggregation operators adoping probabilistic neutrosophic hesitation fuzzy elements (PNHFEs) are proposed to cope with the situations of correlation among criterions. This measure not only provides support for the correlation phenomenon between internal attributes, but also fully concerns the incidental uncertainty of the external space. Our goal is to make it easier for decision makers to cope with this uncertainty, thus we establish the notion of probabilistic neutrosophic hesitant fuzzy Choquet averaging (geometric) (PNHFCOA, PNHFCOG) operator. Based on this foundation, a method for aggregating decision makers’ information is proposed, and then the optimal decision scheme is obtained. Finally, an example of selecting optimal 3PL is given to demonstrate the objectivity of the above-mentioned standpoint.

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Plithogenic Cognitive Maps in Decision Making

10.54216/ijns.090101 ◽

2020 ◽

pp. 09-21

Author(s):

Nivetha .. ◽

◽

Florentin Smarandache

Keyword(s):

Decision Making ◽

Research Work ◽

Cognitive Maps ◽

Connection Matrix ◽

The Novel ◽

New Approach ◽

Fuzzy Matrix ◽

Resultant Vector ◽

Novel Concept ◽

New Research

Plithogenic sets introduced by Smarandache (2018) have disclosed new research vistas and this paper introduces the novel concept of plithogenic cognitive maps (PCM) and its applications in decision making. The new approach of defining instantaneous state neutrosophic vector with the confinement of indeterminacy to (0,1] is proposed to quantify the degree of indeterminacy. The resultant vector is obtained by applying instantaneous state vector through the connection matrix together with plithogenic operators comprising the contradiction degrees. The connection matrix is represented as fuzzy matrix and neutrosophic matrix and the resultant vector is determined by applying plithogenic fuzzy operators and plithogenic neutrosophic operators respectively. The obtained results are highly feasible in making the decision as it incorporates the contradiction degree of the conceptual nodes with respect to the dominant node. This research work will certainly pave the way for developing new approaches in decision making using PCM.

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Creative Thinking and Problem Finding Underlie Optimal Decision Making

Optimal Knowledge Management ◽

10.4018/978-1-59904-016-5.ch002 ◽

2011 ◽

pp. 24-44

Author(s):

Robert Thierauf ◽

James Hoctor

Keyword(s):

Decision Making ◽

Creative Thinking ◽

Decision Makers ◽

Optimal Decision ◽

Problem Finding ◽

Optimal Decision Making ◽

Over Time

• To explore rethinking creative thinking in terms of what needs to be done organizationally over time • To look at the various creative techniques that are useful to decision makers • To explore the use of problem finding from the standpoint of turning problems into opportunities • To examine how problem finding can assist in expanding the wisdom of decision makers

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Decision Support Algorithm for Selecting an Antivirus Mask over COVID-19 Pandemic under Spherical Normal Fuzzy Environment

International Journal of Environmental Research and Public Health ◽

10.3390/ijerph17103407 ◽

2020 ◽

Vol 17 (10) ◽

pp. 3407 ◽

Cited By ~ 18

Author(s):

Zaoli Yang ◽

Xin Li ◽

Harish Garg ◽

Meng Qi

Keyword(s):

Decision Making ◽

Decision Support ◽

Decision Makers ◽

Human Cognition ◽

Multi Criteria Decision Making ◽

The Novel ◽

Accuracy Function ◽

Bonferroni Mean ◽

Fuzzy Environment ◽

Novel Concept

With the rapid outbreak of COVID-19, most people are facing antivirus mask shortages. Therefore, it is necessary to reasonably select antivirus masks and optimize the use of them for everyone. However, the uncertainty of the effects of COVID-19 and limits of human cognition add to the difficulty for decision makers to perfectly realize the purpose. To maximize the utility of the antivirus mask, we proposed a decision support algorithm based on the novel concept of the spherical normal fuzzy (SpNoF) set. In it, firstly, we analyzed the new score and accuracy function, improved operational rules, and their properties. Then, in line with these operations, we developed the SpNoF Bonferroni mean operator and the weighted Bonferroni mean operator, some properties of which are also examined. Furthermore, we established a multi-criteria decision-making method, based on the proposed operators, with SpNoF information. Finally, a numerical example on antivirus mask selection over the COVID-19 pandemic was given to verify the practicability of the proposed method, which the sensitive and comparative analysis was based on and was conducted to demonstrate the availability and superiority of our method.

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Leading under pressure: evaluating the decision-making style of NHL coaches

Sport Business and Management An International Journal ◽

10.1108/sbm-11-2014-0046 ◽

2017 ◽

Vol 7 (1) ◽

pp. 97-112

Author(s):

Kim Trottier

Keyword(s):

Decision Making ◽

Dynamic Environment ◽

Decision Makers ◽

Optimal Decision ◽

Heuristics And Biases ◽

Corporate Leadership ◽

Content Type ◽

Optimal Decision Making ◽

Analytical Dimension ◽

Insight Into

Purpose The purpose of this paper is to establish the optimal decision-making style in a fast-paced, complex, and dynamic environment. Design/methodology/approach Three decision-making attributes are explored: the use of intuition vs analysis, the proclivity to heuristics, and susceptibility to bias. The intuition/analysis is tested with a questionnaire that has been validated in prior research, while information on the two other dimensions is from an exploratory survey designed for this purpose. Responses to the survey questions provide some insight into the differential decision-making style of elite NHL hockey coaches’ vis-à-vis amateur coaches and news reporters. Findings The data suggest elite decision makers have no preference for intuitive or analytical settings, but exhibit a significantly higher perception of their ability to perform in both. While current literature shows sports athletes to be more intuitive, it appears coaches excel on the analytical dimension instead. This study finds that while elite hockey coaches have fewer biases overall, they tend in particular to be overly optimistic in comparison to amateur coaches and news reporters. Research limitations/implications The main limitation in this paper is that the survey on heuristics and biases is exploratory, making these results less robust than the findings on intuition and analysis. Originality/value This paper is first to extend the decision-making literature to coaches, and among few papers that obtain insights from NHL coaches directly. The findings are likely to extend to corporate leadership as well, increasing the relevance of the results.

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Decision making based on intuitionistic fuzzy preference relations with additive approximate consistency

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-200200 ◽

2020 ◽

Vol 39 (3) ◽

pp. 4041-4058

Author(s):

Fang Liu ◽

Xu Tan ◽

Hui Yang ◽

Hui Zhao

Keyword(s):

Decision Making ◽

Decision Makers ◽

Real Interval ◽

Preference Relations ◽

Intuitionistic Fuzzy ◽

Proposed Model ◽

Fuzzy Preference Relations ◽

Novel Concept ◽

Fuzzy Weights ◽

Fuzzy Preference

Intuitionistic fuzzy preference relations (IFPRs) have the natural ability to reflect the positive, the negative and the non-determinative judgements of decision makers. A decision making model is proposed by considering the inherent property of IFPRs in this study, where the main novelty comes with the introduction of the concept of additive approximate consistency. First, the consistency definitions of IFPRs are reviewed and the underlying ideas are analyzed. Second, by considering the allocation of the non-determinacy degree of decision makers’ opinions, the novel concept of approximate consistency for IFPRs is proposed. Then the additive approximate consistency of IFPRs is defined and the properties are studied. Third, the priorities of alternatives are derived from IFPRs with additive approximate consistency by considering the effects of the permutations of alternatives and the allocation of the non-determinacy degree. The rankings of alternatives based on real, interval and intuitionistic fuzzy weights are investigated, respectively. Finally, some comparisons are reported by carrying out numerical examples to show the novelty and advantage of the proposed model. It is found that the proposed model can offer various decision schemes due to the allocation of the non-determinacy degree of IFPRs.

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