A Note on Solving a Fully Intuitionistic Fuzzy Linear Programming Problem based on Sign Distance

Bharati, Shailendra Kumar; Singh, S. R.

doi:10.5120/21379-4347

Cited by 8 publications

(2 citation statements)

References 26 publications

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“…Tavana and Ebrahimnejad introduced a new approach for solving FLP problems with symmetric trapezoidal fuzzy numbers [36]. The fully intuitionistic FLP problems introduced by Bharati and Singh [37] depend on sign distance between triangular intuitionistic fuzzy numbers. A ranking function was used by Sidhu and Kumar [38] for solving intuitionistic FLP problems.…”

Section: Literature Reviewmentioning

confidence: 99%

RETRACTED ARTICLE: A novel method for solving the fully neutrosophic linear programming problems

Abdel‐Basset

Gunasekaran

Mohamed

et al. 2018

Neural Comput & Applic

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The most widely used technique for solving and optimizing a real-life problem is linear programming (LP), due to its simplicity and efficiency. However, in order to handle the impreciseness in the data, the neutrosophic set theory plays a vital role which makes a simulation of the decision-making process of humans by considering all aspects of decision (i.e., agree, not sure and disagree). By keeping the advantages of it, in the present work, we have introduced the neutrosophic LP models where their parameters are represented with a trapezoidal neutrosophic numbers and presented a technique for solving them. The presented approach has been illustrated with some numerical examples and shows their superiority with the state of the art by comparison. Finally, we conclude that proposed approach is simpler, efficient and capable of solving the LP models as compared to other methods.

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Section: Literature Reviewmentioning

confidence: 99%

RETRACTED ARTICLE: A novel method for solving the fully neutrosophic linear programming problems

Abdel‐Basset

Gunasekaran

Mohamed

et al. 2018

Neural Comput & Applic

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show abstract

“…Singh and Yadav [16] proposed transportation problem with intuitionistic fuzzy type-2 problem. Some of researchers [17][18][19][20][21][22] focused on solving multiobjective LP (MOLP) problem and LP problems with intuitionistic fuzzy numbers. Till now, several works have been pioneered in both FS and IFS.…”

Section: Introductionmentioning

confidence: 99%

A Novel Method for Solving Multiobjective Linear Programming Problems with Triangular Neutrosophic Numbers

Wang

Huang

Kong

et al. 2021

Journal of Mathematics

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In the field of operation research, linear programming (LP) is the most utilized apparatus for genuine application in various scales. In our genuine circumstances, the manager/decision-makers (DM) face problems to get the optimal solutions and it even sometimes becomes impossible. To overcome these limitations, neutrosophic set theory is presented, which can handle all types of decision, that is, concur, not certain, and differ, which is common in real-world situations. By thinking about these conditions, in this work, we introduced a method for solving neutrosophic multiobjective LP (NMOLP) problems having triangular neutrosophic numbers. In the literature study, there is no method for solving NMOLP problem. Therefore, here we consider a NMOLP problem with mixed constraints, where the parameters are assumed to be triangular neutrosophic numbers (TNNs). So, we propose a method for solving NMOLP problem with the help of linear membership function. After utilizing membership function, the problem is converted into equivalent crisp LP (CrLP) problem and solved by any suitable method which is readily available. To demonstrate the efficiency and accuracy of the proposed method, we consider one classical MOLP problem and solve it. Finally, we conclude that the proposed approach also helps decision-makers to not only know and optimize the most likely situation but also realize the outcomes in the optimistic and pessimistic business situations, so that decision-makers can prepare and take necessary actions for future uncertainty.

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Solving the general fully neutrosophic multi-level multiobjective linear programming problems

Lachhwani

2021

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A Note on Solving a Fully Intuitionistic Fuzzy Linear Programming Problem based on Sign Distance

Cited by 8 publications

References 26 publications

RETRACTED ARTICLE: A novel method for solving the fully neutrosophic linear programming problems

RETRACTED ARTICLE: A novel method for solving the fully neutrosophic linear programming problems

A Novel Method for Solving Multiobjective Linear Programming Problems with Triangular Neutrosophic Numbers

Solving the general fully neutrosophic multi-level multiobjective linear programming problems

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