Neutrosophic Goal Geometric Programming Problem and Its Application to Multi-objective Reliability Optimization Model

Kundu, Tanmay; Islam, Sahidul

doi:10.1007/s40815-018-0479-2

Cited by 12 publications

(6 citation statements)

References 10 publications

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“…Patro and Smarandache [3] presented neutrosophic statistics versions of binomial and normal distributions. Kundu and Islam [4] developed a goal geometric programming method based on neutrosophic set. Malik et al [5] proposed the concept of soft rough NSs to graph theory and introduced several new graphs.…”

Section: Introductionmentioning

confidence: 99%

Hesitant Bipolar-Valued Neutrosophic Set: Formulation, Theory and Application

Awang

Ali

2019

IEEE Access

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This paper proposes a hesitant bipolar-valued neutrosophic set (HBVNS) based on the combination of bipolar neutrosophic sets and hesitant fuzzy sets. The proposed set generalizes the notions of fuzzy set, intuitionistic fuzzy set, hesitant fuzzy set, single-valued neutrosophic set, single-valued neutrosophic hesitant fuzzy set, bipolar fuzzy set and bipolar neutrosophic set. Further, we define the basic operational laws, union, intersection and complement for hesitant bipolar-valued neutrosophic elements (HBVNEs) and study its associated properties. Some relevant examples are also given to provide a better understanding of the proposed concept. Two aggregation operators are developed based on HBVNS which are the hesitant bipolarvalued neutrosophic weighted averaging (HBVNWA) and the hesitant bipolar-valued neutrosophic weighted geometric (HBVNWG). A decision making method is developed based on new sets and the proposed HBVNWA and HBVNWG operators. Finally, an illustrative example is given to show the applicability of the proposed decision making method. A comparative analysis with the existing methods is also provided.

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Section: Introductionmentioning

confidence: 99%

Hesitant Bipolar-Valued Neutrosophic Set: Formulation, Theory and Application

Awang

Ali

2019

IEEE Access

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“…The presented work can be described as an empirical case research work by filling the various gaps [8,9,17,19,29] such as instant variation among parameters, two-level mathematical programming, duality theory in the GPP, and the automatic post-optimal analysis metric. In system reliability modeling, various parameters can be taken as varying between some specified intervals.…”

Section: Analyses Of Computational Complexity and Discussionmentioning

confidence: 99%

“…This situation is quite common due to uncertainty in the failure of any components. In real-life scenarios, the minimization of the total system cost by maintaining the system reliability would be a more prominent modeling texture of the reliability optimization problems (see [17,29,30]). Therefore, the mathematical model for the minimization of system cost under varying system reliability takes the form of the geometric programming problem and can be represented as follows (33):…”

Section: Example 2 ([4]mentioning

confidence: 99%

Modeling and Optimizing the System Reliability Using Bounded Geometric Programming Approach

Ahmad

Alam

et al. 2022

Mathematics

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The geometric programming problem (GPP) is a beneficial mathematical programming problem for modeling and optimizing nonlinear optimization problems in various engineering fields. The structural configuration of the GPP is quite dynamic and flexible in modeling and fitting the reliability optimization problems efficiently. The work’s motivation is to introduce a bounded solution approach for the GPP while considering the variation among the right-hand-side parameters. The bounded solution method uses the two-level mathematical programming problems and obtains the solution of the objective function in a specified interval. The benefit of the bounded solution approach can be realized in that there is no need for sensitivity analyses of the results output. The demonstration of the proposed approach is shown by applying it to the system reliability optimization problem. The specific interval is determined for the objective values and found to be lying in the optimal range. Based on the findings, the concluding remarks are presented.

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“…A neutrosophic set is differentiated by the truth membership function, indeterminacy membership function and falsity membership function (Abdel-Basset et al, 2018b). Neutrosophic sets have advantages in dealing with incomplete or insufficient information in real-time problems and have become the first choice for an increasing number of researchers to deal with fuzzy data (Kundu and Islam, 2018). We use a neutrosophic set to solve the problems of hesitation and semantic ambiguity in the process of evaluating measures according to indicators.…”

Section: Neutrosophic Set Theory and Neutrosophic Numbersmentioning

confidence: 99%

Improving supply chain collaboration through operational excellence approaches: an IoT perspective

Cui

Gao

Dai

et al. 2020

IMDS

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PurposeCollaboration is an important emerging dimension of sustainable supply chain management. How to improve supply chain collaboration (SCC) by means of operational excellence approaches has become an important research topic. The Internet of things (IoT), an important means of operational excellence, has also received increased attention. For better collaboration by the IoT, this study proposes a novel methodology to evaluate the measures of IoT adoption in SCC.Design/methodology/approachBased on the six-domain model and the common classification of collaboration, the measures of the IoT and the criteria of SCC are developed, respectively. A hybrid multi-step methodology that combines neutrosophic set theory, analytic hierarchy process (AHP) and technology for order preference by similarity to an ideal solution (TOPSIS) is proposed to complete the evaluation.FindingsThe results show that improving information transparency, strengthening the integration of management information systems and improving large data processing abilities are the most important measures of the IoT in improving SCC. Measures such as introducing sensing technology and laser scanning technology rank at the bottom and are relatively unimportant.Practical implicationsThe research results provide insights and references for firms to improve SCC by adopting appropriate IoT measures.Originality/valueMost of existing studies indicate the significance of technology in SCC. But this study shows a different conclusion that technologies rank the bottom, while information transparency is more important. And a suitable explanation is given. It further enriches the theoretical studies in SCC field.

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Neutrosophic Goal Geometric Programming Problem and Its Application to Multi-objective Reliability Optimization Model

Cited by 12 publications

References 10 publications

Hesitant Bipolar-Valued Neutrosophic Set: Formulation, Theory and Application

Hesitant Bipolar-Valued Neutrosophic Set: Formulation, Theory and Application

Modeling and Optimizing the System Reliability Using Bounded Geometric Programming Approach

Improving supply chain collaboration through operational excellence approaches: an IoT perspective

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