Exam 16: Analytic Hierarchy Process

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A pairwise comparison rating of 9 means that the two alternatives are

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Upon completion of an Analytic Hierarchy Process analysis, the CR = 0.23, thus

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Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows: Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the element in the weighted sum vector for the style factor for the lederhosen. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the element in the weighted sum vector for the style factor for the lederhosen. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the element in the weighted sum vector for the style factor for the lederhosen. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the element in the weighted sum vector for the style factor for the lederhosen. -Use Table M1-5 to determine the element in the weighted sum vector for the style factor for the lederhosen.

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In multifactor decision making, individuals quantitatively and objectively consider the various factors in making their decisions.

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Jason Rule is considering attending one of five different schools.Shown below are the priorities and the original pairwise comparison matrix. Priorities Table: Jason Rule is considering attending one of five different schools.Shown below are the priorities and the original pairwise comparison matrix. Priorities Table:   Pairwise Comparison Table:   The consistency vector is Pairwise Comparison Table: Jason Rule is considering attending one of five different schools.Shown below are the priorities and the original pairwise comparison matrix. Priorities Table:   Pairwise Comparison Table:   The consistency vector is The consistency vector is

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Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows: Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the consistency ratio for the ease of use factor. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the consistency ratio for the ease of use factor. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the consistency ratio for the ease of use factor. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the consistency ratio for the ease of use factor. -Use Table M1-5 to determine the consistency ratio for the ease of use factor.

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In AHP, if the consistency ratio demonstrates that the original pairwise comparisons are inconsistent, then the AHP evaluation should be abandoned in favor of the MFEP.

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AHP gives the factor weights and factor evaluations from which the final decision can be made.

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Construct an initial pairwise comparison matrix with the following information regarding an Ease of Use factor about three different commercial student information systems.System C, when compared to System A, is strongly preferred.When System C is compared to System B, System C is only moderately preferred.When compared to System A, System B is strongly preferred.

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Compare and contrast AHP and MFEP.

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Given a consistency index of 0.2070, and an n of 5, use the following table to calculate the consistency ratio. Given a consistency index of 0.2070, and an n of 5, use the following table to calculate the consistency ratio.

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Given three alternatives and their total weighted evaluation, which action should be selected? Given three alternatives and their total weighted evaluation, which action should be selected?

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Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows: Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the element in the weighted sum vector for the ease of use factor for the grass skirt. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the element in the weighted sum vector for the ease of use factor for the grass skirt. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the element in the weighted sum vector for the ease of use factor for the grass skirt. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the element in the weighted sum vector for the ease of use factor for the grass skirt. -Use Table M1-5 to determine the element in the weighted sum vector for the ease of use factor for the grass skirt.

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In MFEP, the factor weights are summed and then multiplied by the total factor evaluation.

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In the multifactor evaluation process, we always select the alternative that has the highest total weighted evaluation.

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In AHP, the factor weights and evaluations are computed from a number of pairwise comparison matrices.

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Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows: Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the priority for the grass skirt in the comfort factor's normalized matrix. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the priority for the grass skirt in the comfort factor's normalized matrix. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the priority for the grass skirt in the comfort factor's normalized matrix. Table M1-5 It is International Day on campus and a professor of Scottish, German, and Hawaiian ancestry is weighing his options for traditional attire among his kilt, lederhosen and grass skirt.He decides to weigh these alternatives using AHP and has decided that comfort, style, and ease of use are the most important criteria. His pairwise comparison matrices are as follows:          -Use Table M1-5 to determine the priority for the grass skirt in the comfort factor's normalized matrix. -Use Table M1-5 to determine the priority for the grass skirt in the comfort factor's normalized matrix.

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Table M1-1 Jason Rule has developed the following table to represent his research into the decision as to which college he would like to attend after graduation: Table M1-1 Jason Rule has developed the following table to represent his research into the decision as to which college he would like to attend after graduation:    -Table M1-1 portrays Jason's initial evaluation of the colleges of interest.Jason has now decided that (a)Social Life is more important than he first implied, and (b)that the student body at MSU is so large that he may feel lost-just a small fish in a big, big pond.He decides to change the weight for Social Life to 0.2, and change his rating of the Social Life at MSU to 0.4.He will compensate for the increase in the weight of Social Life by reducing the weight of Yearly Cost.Given these changes, what will be his second-choice college? -Table M1-1 portrays Jason's initial evaluation of the colleges of interest.Jason has now decided that (a)Social Life is more important than he first implied, and (b)that the student body at MSU is so large that he may feel lost-just a small fish in a big, big pond.He decides to change the weight for Social Life to 0.2, and change his rating of the Social Life at MSU to 0.4.He will compensate for the increase in the weight of Social Life by reducing the weight of Yearly Cost.Given these changes, what will be his second-choice college?

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The consistency index is

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The consistency ratio (CR)is an indicator of the equality of factors.

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