Bipolar fuzzy concept learning using next neighbor and Euclidean distance

Singh, Prem Kumar

doi:10.1007/s00500-018-3114-0

Cited by 19 publications

(2 citation statements)

References 47 publications

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“…Let Y 1 and Y 2 units be taken of beef and mutton; then, the given problem converts to an LR-type FBFLPP as Minimize 〈 [12,7,5] LR , [11,9,3]…”

Section: Theorem 17mentioning

confidence: 99%

“…Furthermore, Zhang [5] introduced NPN fuzzy sets and NPN qualitative algebra. On the other hand, Akram and Arshad [6] defined bipolar fuzzy numbers and proposed a novel trapezoidal bipolar fuzzy TOPSIS method for group decision making, and Singh [7] discussed two schemes based on the properties of next neighbors and Euclidean distance in a bipolar fuzzy environment. Chakraborty et al [8] introduced pentagonal neutrosophic numbers and further analyzed their properties.…”

Section: Introductionmentioning

confidence: 99%

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Optimization of $LR$ -Type Fully Bipolar Fuzzy Linear Programming Problems

Mehmood

Akram

Alharbi

et al. 2021

Mathematical Problems in Engineering

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In this study, we present a technique to solve LR -type fully bipolar fuzzy linear programming problems (FBFLPPs) with equality constraints. We define LR -type bipolar fuzzy numbers and their arithmetic operations. We discuss multiplication of LR -type bipolar fuzzy numbers. Furthermore, we develop a method to solve LR -type FBFLPPs with equality constraints involving LR -type bipolar fuzzy numbers as parameters and variables. Moreover, we define ranking for LR -type bipolar fuzzy numbers which transform the LR -type FBFLPP into a crisp linear programming problem. Finally, we consider numerical examples to illustrate the proposed method.

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“…Let Y 1 and Y 2 units be taken of beef and mutton; then, the given problem converts to an LR-type FBFLPP as Minimize 〈 [12,7,5] LR , [11,9,3]…”

Section: Theorem 17mentioning

confidence: 99%