Solution of Fully Bipolar Fuzzy Linear Programming Models
نویسندگان
چکیده
The Yin-Yang bipolar fuzzy set is a powerful mathematical tool for depicting fuzziness and vagueness. We first extend the concept of crisp linear programming problem in environment based on numbers. define arithmetic operations unrestricted numbers multiplication an trapezoidal number (TrBFN) with non-negative TrBFN. then propose method solving fully problems (FBFLPPs) equality constraints which coefficients are triangular decision variables nonnegative Furthermore, we present FBFLPPs TrBFNs. FBFLPP transformed into problem, then, it solved to achieve exact optimal solution. illustrate proposed methodologies several numerical examples.
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2021
ISSN: ['1026-7077', '1563-5147', '1024-123X']
DOI: https://doi.org/10.1155/2021/9961891