Transportation problem with interval-valued intuitionistic fuzzy sets: impact of a new ranking

Bharati, Shailendra Kumar

doi:10.1007/s13748-020-00228-w

Cited by 35 publications

(13 citation statements)

References 42 publications

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“…Mondal and his colleagues [28][29][30] discussed the application of differential equations for intervalvalued fuzzy numbers in various topics. Bharati et al [31][32][33] developed a TP in an interval-valued intuitionistic fuzzy environment. In addition, Mishra et al [34] recorded notes on TPs in interval-valued intuitionistic fuzzy environment.…”

Section: Fuzzy Intuitionistic Interval-valued Intuitionistic Fuzzy In...mentioning

confidence: 99%

Transportation Problem for Interval-Valued Trapezoidal Intuitionistic Fuzzy Numbers

Rani¹,

Manivannan²

2022

IJFIS

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The aim of the decision-makers in the transportation industry is to maximize profit by minimizing the transportation cost. The transportation structure is the center of economic activity in the business logistics system. However, transportation costs may vary owing to various unpredictable factors. In this study, cost of the transporting unit is considered as an interval-valued trapezoidal intuitionistic fuzzy number to deal with these uncertainties. The transportation problem with interval-valued trapezoidal intuitionistic fuzzy cost is discussed here, and the costs are ordered by score and score expected functions. As a special case, the interval-valued trapezoidal intuitionistic cost is not converted into crisp numbers to solve the transportation problem and derive the initial basic feasible (IBF) solution through interval-valued intuitionistic costs. Furthermore, the optimality of the derived initial basic feasible solution is checked using the modified distribution (MODI) method. The effectiveness and validation of the developed approach were illustrated using numerical examples.

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Section: Fuzzy Intuitionistic Interval-valued Intuitionistic Fuzzy In...mentioning

confidence: 99%

Transportation Problem for Interval-Valued Trapezoidal Intuitionistic Fuzzy Numbers

Rani¹,

Manivannan²

2022

IJFIS

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“…Both interval-valued intuitionistic and hesitant fuzzy sets have successful applications in decision-making. Recently, Bharati and Singh ( 2019 ); Bharati ( 2021 ); Bharati and Singh ( 2018 ) studied interval-valued intuitionistic fuzzy sets and their various properties. From the practical point of view, a computational algorithm is developed and it is an extension of both fuzzy and intuitionistic fuzzy optimization techniques.…”

Section: Literature Reviewmentioning

confidence: 99%

Hesitant intuitionistic fuzzy algorithm for multiobjective optimization problem

Bharati¹

2022

Oper Res Int J

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Every real-life optimization problem with uncertainty and hesitation can not be with a single objective, and consequently, a class of multiobjective linear optimization problems (MOLOP) appears in the literature. Further, the experts assign values of uncertain parameters, and the expert’s opinions about the parameters are conflicting in nature. There are concerning methods based on fuzzy sets, or their other versions are available in the literature that only covers partial uncertainty and hesitation, but the hesitant intuitionistic fuzzy sets provides a collective understanding of the real-life MOLOP under uncertainty and hesitation, and it also reflects better practical aspects of decision-making of MOLOP. In this context, the paper defines the hesitant fuzzy membership function and nonmembership function to tackle the uncertainty and hesitation of the parameters. Here, a new solution called hesitant intuitionistic fuzzy Pareto optimal solution is defined, and some theorems are stated and proved. For the decision-making of MOLOP, we develop an iterative method, and an illustrative example shows the superiority of the proposed method. And lastly, the calculated results are compared with some popular methods.

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“…Based on the Pythagorean fuzzy similarity measure, Premalatha and Dhanalakshmi ( 2022 ) developed a significant strategy for image enhancement as well as the categorization of the COVID-19 virus. The importance of a ranking system was then constructed by Bharati, employing IVIFSs to handle a transportation problem (Bharati 2021 ). Meanwhile, implementing IVIFSs, the author, Percin ( 2021 ), presented a circular supplier selection.…”

Section: Introductionmentioning

confidence: 99%

A theoretical development of improved cosine similarity measure for interval valued intuitionistic fuzzy sets and its applications

Rathnasabapathy

Palanisami

2022

J Ambient Intell Human Comput

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This study mainly focuses on developing a new flexible technique for interval-valued intuitionistic fuzzy cosine similarity measures, which significantly analyzes the strength of the relationship between two objects. Based on the notion of a cosine similarity measure between IVIFSs, the proposed measure is formulated. Then, the measure is demonstrated to satisfy some essential properties, which prepare the ground for applications in different areas. Finally, the study uses the proposed measure to solve real-world decision problems such as pattern recognition, medical diagnosis, and multi-criteria decision-making problems with interval-valued intuitionistic fuzzy information. The numerical examples of the mentioned applications are delivered to validate the effectiveness of the developed approach in solving real-life problems.

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Transportation problem with interval-valued intuitionistic fuzzy sets: impact of a new ranking

Cited by 35 publications

References 42 publications

Transportation Problem for Interval-Valued Trapezoidal Intuitionistic Fuzzy Numbers

Transportation Problem for Interval-Valued Trapezoidal Intuitionistic Fuzzy Numbers

Hesitant intuitionistic fuzzy algorithm for multiobjective optimization problem

A theoretical development of improved cosine similarity measure for interval valued intuitionistic fuzzy sets and its applications

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