Abstract
Goal programming optimization techniques are an essential and exciting topic since the 1970s. The significant development can be realized by having enormous researches in this field, such as fuzzy goal optimization technique, intuitionistic fuzzy goal optimization technique, different goal programming techniques, etc. Thus this chapter investigates a new algorithm based on the spherical fuzzy set (SF) named as spherical fuzzy goal programming problem (SFGP) under the spherical fuzzy environment. The SFGP inevitably involves the degree of neutrality along with truth and a falsity membership degree of the element into the feasible decision set. It also generalizes the decision set by imposing the restriction that the sum of squares of each membership function must be less than or equal to one. The attainment of achievement function is determined by reducing the deviations from ideal solutions for the truth, neutral and negative membership goals of each objective function under the spherical fuzzy decision set. At last, numerical examples and conclusions are presented to reveal the applicability and future research scope in the SF domain.
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Ahmad, F., Adhami, A.Y. (2021). Spherical Fuzzy Goal Programming Problem. In: Kahraman, C., Kutlu Gündoğdu, F. (eds) Decision Making with Spherical Fuzzy Sets. Studies in Fuzziness and Soft Computing, vol 392. Springer, Cham. https://doi.org/10.1007/978-3-030-45461-6_21
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DOI: https://doi.org/10.1007/978-3-030-45461-6_21
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