A Novel Multiperson Game Approach for Linguistic Multicriteria Decision Making Problems

Table 9

The aggregated performance of each enterprise with respect to criteria under all strategy combinations.

Strategy; combination	Enterprise 𝑃^1				Enterprise 𝑃^2
	𝑐^11	𝑐^12	𝑐^13	𝑐^14	𝑐^21	𝑐^22
𝑠^11, 𝑠^21, 𝑠^31	(0.375, 0.500, 0.625)	(0.417, 0.542, 0.667)	(0.542, 0.667, 0.792)	(0.333, 0.458, 0.542)	(0.542, 0.667, 0.792)	(0.583, 0.708, 0.833)
𝑠^12, 𝑠^21, 𝑠^31	(0.375, 0.458, 0.583)	(0.417, 0.542, 0.667)	(0.292, 0.417, 0.542)	(0.542, 0.667, 0.792)	(0.083, 0.167, 0.292)	(0.292, 0.417, 0.542)
𝑠^13, 𝑠^21, 𝑠^31	(0.375, 0.458, 0.542)	(0.625, 0.750, 0.875)	(0.042, 0.125, 0.250)	(0.250, 0.375, 0.500)	(0.542, 0.667, 0.792)	(0.125, 0.208, 0.333)
𝑠^11, 𝑠^22, 𝑠^31	(0.625, 0.750, 0.833)	(0.458, 0.583, 0.667)	(0.542, 0.667, 0.792)	(0.542, 0.667, 0.750)	(0.250, 0.375, 0.500)	(0.292, 0.417, 0.542)
𝑠^12, 𝑠^22, 𝑠^31	(0.083, 0.167, 0.292)	(0.583, 0.708, 0.792)	(0.417, 0.542, 0.667)	(0.583, 0.708, 0.792)	(0.292, 0.375, 0.500)	(0.625, 0.750, 0.875)
𝑠^13, 𝑠^22, 𝑠^31	(0.625, 0.750, 0.833)	(0.292, 0.417, 0.542)	(0.208, 0.292, 0.417)	(0.125, 0.250, 0.375)	(0.500, 0.625, 0.708)	(0.292, 0.417, 0.542)
𝑠^11, 𝑠^23, 𝑠^31	(0.667, 0.792, 0.875)	(0.500, 0.625, 0.708)	(0.375, 0.500, 0.625)	(0.667, 0.792, 0.875)	(0.042, 0.083, 0.208)	(0.417, 0.542, 0.667)
𝑠^12, 𝑠^23, 𝑠^31	(0.500, 0.625, 0.708)	(0.708, 0.833, 0.917)	(0.167, 0.250, 0.375)	(0.542, 0.667, 0.750)	(0.708, 0.833, 0.917)	(0.292, 0.417, 0.542)
𝑠^13, 𝑠^23, 𝑠^31	(0.542, 0.667, 0.792)	(0.417, 0.500, 0.583)	(0.458, 0.583, 0.708)	(0.292, 0.375, 0.500)	(0.500, 0.625, 0.750)	(0.542, 0.667, 0.792)
𝑠^11, 𝑠^21, 𝑠^32	(0.667, 0.792, 0.875)	(0.417, 0.542, 0.625)	(0.500, 0.625, 0.708)	(0.667, 0.792, 0.875)	(0.208, 0.333, 0.458)	(0.250, 0.375, 0.500)
𝑠^12, 𝑠^21, 𝑠^32	(0.458, 0.583, 0.667)	(0.583, 0.708, 0.833)	(0.667, 0.792, 0.875)	(0.417, 0.542, 0.625)	(0.542, 0.667, 0.792)	(0.500, 0.625, 0.750)
𝑠^13, 𝑠^21, 𝑠^32	(0.458, 0.583, 0.708)	(0.333, 0.458, 0.583)	(0.542, 0.667, 0.792)	(0.292, 0.417, 0.542)	(0.667, 0.792, 0.875)	(0.417, 0.542, 0.667)
𝑠^11, 𝑠^22, 𝑠^32	(0.333, 0.417, 0.542)	(0.417, 0.500, 0.625)	(0.417, 0.542, 0.667)	(0.667, 0.792, 0.875)	(0.417, 0.500, 0.583)	(0.458, 0.583, 0.667)
𝑠^12, 𝑠^22, 𝑠^32	(0.417, 0.500, 0.625)	(0.375, 0.458, 0.583)	(0.375, 0.458, 0.583)	(0.500, 0.625, 0.750)	(0.458, 0.583, 0.667)	(0.458, 0.542, 0.667)
𝑠^13, 𝑠^22, 𝑠^32	(0.667, 0.792, 0.875)	(0.042, 0.083, 0.208)	(0.375, 0.500, 0.625)	(0.667, 0.792, 0.917)	(0.125, 0.250, 0.375)	(0.417, 0.500, 0.625)
𝑠^11, 𝑠^23, 𝑠^32	(0.208, 0.292, 0.417)	(0.542, 0.667, 0.792)	(0.417, 0.542, 0.667)	(0.583, 0.667, 0.708)	(0.375, 0.458, 0.583)	(0.250, 0.375, 0.500)
𝑠^12, 𝑠^23, 𝑠^32	(0.583, 0.708, 0.833)	(0.500, 0.625, 0.708)	(0.167, 0.292, 0.417)	(0.583, 0.667, 0.708)	(0.583, 0.708, 0.833)	(0.458, 0.583, 0.708)
𝑠^13, 𝑠^23, 𝑠^32	(0.167, 0.250, 0.375)	(0.625, 0.750, 0.875)	(0.542, 0.667, 0.750)	(0.167, 0.208, 0.333)	(0.333, 0.417, 0.542)	(0.542, 0.667, 0.750)
Strategy; combination	Enterprise 𝑃^2	Enterprise 𝑃^3
	𝑐^23	𝑐^31	𝑐^32	𝑐^33	𝑐^34
𝑠^11, 𝑠^21, 𝑠^31	(0.667, 0.792, 0.875)	(0.250, 0.375, 0.500)	(0.292, 0.417, 0.542)	(0.125, 0.208, 0.333)	(0.333, 0.458, 0.583)
𝑠^12, 𝑠^21, 𝑠^31	(0.333, 0.458, 0.583)	(0.375, 0.500, 0.625)	(0.667, 0.792, 0.917)	(0.542, 0.667, 0.792)	(0.583, 0.708, 0.833)
𝑠^13, 𝑠^21, 𝑠^31	(0.250, 0.333, 0.458)	(0.333, 0.417, 0.542)	(0.458, 0.583, 0.708)	(0.458, 0.583, 0.708)	(0.500, 0.625, 0.708)
𝑠^11, 𝑠^22, 𝑠^31	(0.458, 0.583, 0.708)	(0.458, 0.583, 0.708)	(0.458, 0.583, 0.667)	(0.333, 0.458, 0.583)	(0.583, 0.708, 0.792)
𝑠^12, 𝑠^22, 𝑠^31	(0.500, 0.625, 0.708)	(0.375, 0.500, 0.583)	(0.500, 0.625, 0.750)	(0.458, 0.583, 0.708)	(0.417, 0.542, 0.667)
𝑠^13, 𝑠^22, 𝑠^31	(0.750, 0.875, 0.917)	(0.417, 0.542, 0.667)	(0.833, 0.958, 1.000)	(0.583, 0.708, 0.792)	(0.333, 0.458, 0.583)
𝑠^11, 𝑠^23, 𝑠^31	(0.625, 0.750, 0.833)	(0.333, 0.458, 0.542)	(0.458, 0.583, 0.708)	(0.375, 0.500, 0.583)	(0.125, 0.250, 0.375)
𝑠^12, 𝑠^23, 𝑠^31	(0.583, 0.708, 0.792)	(0.375, 0.500, 0.625)	(0.208, 0.333, 0.458)	(0.250, 0.375, 0.500)	(0.583, 0.708, 0.833)
𝑠^13, 𝑠^23, 𝑠^31	(0.458, 0.583, 0.708)	(0.500, 0.583, 0.667)	(0.417, 0.542, 0.667)	(0.500, 0.625, 0.750)	(0.583, 0.708, 0.833)
𝑠^11, 𝑠^21, 𝑠^32	(0.208, 0.292, 0.417)	(0.583, 0.708, 0.792)	(0.583, 0.708, 0.833)	(0.500, 0.625, 0.750)	(0.667, 0.792, 0.875)
𝑠^12, 𝑠^21, 𝑠^32	(0.458, 0.583, 0.708)	(0.083, 0.208, 0.333)	(0.250, 0.333, 0.458)	(0.458, 0.583, 0.708)	(0.458, 0.583, 0.708)
𝑠^13, 𝑠^21, 𝑠^32	(0.375, 0.500, 0.625)	(0.250, 0.333, 0.458)	(0.542, 0.667, 0.792)	(0.625, 0.750, 0.833)	(0.375, 0.500, 0.625)
𝑠^11, 𝑠^22, 𝑠^32	(0.542, 0.667, 0.750)	(0.542, 0.667, 0.792)	(0.750, 0.875, 0.917)	(0.333, 0.458, 0.583)	(0.250, 0.375, 0.500)
𝑠^12, 𝑠^22, 𝑠^32	(0.208, 0.333, 0.458)	(0.208, 0.333, 0.458)	(0.417, 0.542, 0.625)	(0.500, 0.625, 0.708)	(0.167, 0.250, 0.375)
𝑠^13, 𝑠^22, 𝑠^32	(0.167, 0.250, 0.375)	(0.375, 0.500, 0.583)	(0.250, 0.333, 0.458)	(0.333, 0.417, 0.500)	(0.500, 0.583, 0.667)
𝑠^11, 𝑠^23, 𝑠^32	(0.458, 0.583, 0.708)	(0.458, 0.583, 0.708)	(0.667, 0.792, 0.875)	(0.292, 0.375, 0.500)	(0.500, 0.625, 0.750)
𝑠^12, 𝑠^23, 𝑠^32	(0.542, 0.667, 0.792)	(0.583, 0.708, 0.833)	(0.667, 0.792, 0.875)	(0.417, 0.542, 0.667)	(0.625, 0.750, 0.833)
𝑠^13, 𝑠^23, 𝑠^32	(0.625, 0.750, 0.833)	(0.208, 0.333, 0.458)	(0.042, 0.125, 0.250)	(0.583, 0.708, 0.792)	(0.167, 0.250, 0.375)