An Introduction to Fuzzy Linear Programming Problems: by Jagdeep Kaur, Amit Kumar

By Jagdeep Kaur, Amit Kumar

The ebook provides a picture of the cutting-edge within the box of totally fuzzy linear programming. the main target is on exhibiting present equipment for locating the bushy optimum answer of absolutely fuzzy linear programming difficulties within which the entire parameters and determination variables are represented through non-negative fuzzy numbers. It provides new tools constructed by means of the authors, in addition to current equipment constructed by way of others, and their program to real-world difficulties, together with fuzzy transportation difficulties. furthermore, it compares the results of the several equipment and discusses their advantages/disadvantages. because the first paintings to assemble at one position crucial equipment for fixing fuzzy linear programming difficulties, the e-book represents an invaluable reference advisor for college students and researchers, delivering them with the mandatory theoretical and sensible wisdom to accommodate linear programming difficulties below uncertainty.

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Extra resources for An Introduction to Fuzzy Linear Programming Problems: Theory, Methods and Applications

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In the domestic soft drinks market, Dali produces tea beverages to meet demand from four distribution centers in Taichung, Chiayi, Kaohsiung and Taipei, with production being based at three plants in Changhua, Touliu and Hsinchu. 1 summarizes the potential supply available from these three plants, the forecast demand from the four distribution centers and the unit transportation costs for each route used by Dali for the upcoming season. S.

3, over the method, presented in Chap. 2, are discussed. 9) which can be solved by using the the method, presented in Chap. 2, can also be solved by using the method presented in this chapter and the obtained results are same. 2) which cannot be solved by using the method, presented in Chap. 2, can be solved by using the method presented in this chapter. 6 Real Life Application of Kaur and Kumar’s Method Kaur and Kumar [3] proposed a new method, based on tabular representation of transportation problems, to find the fuzzy optimal solution of uncapacitated fully fuzzy transportation problems and solved the real life uncapacitated fully fuzzy transportation problem, chosen in Sect.

M j=1 n min{bi j , bi j } = gi ∀ i = 1, 2, . . 5) j=1 n max{ci j , ci j } = h i ∀ i = 1, 2, . . , m j=1 n max{di j , di j } = ki ∀ i = 1, 2, . . , m j=1 y j − x j ≥ 0, z j − y j ≥ 0, w j − z j ≥ 0 ∀ j = 1, 2, . . , n Step 4 As discussed in Step 4 of Sect. 6): n ( p j , q j , r j , s j ) ⊗ (x j , y j , z j , w j )) Maximize/Minimize ( j=1 subject to n min{ai j , ai j } = bi ∀ i = 1, 2, . . , m j=1 n min{bi j , bi j } = gi ∀ i = 1, 2, . . , m j=1 n max{ci j , ci j } = h i ∀ i = 1, 2, .

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