Abstract
In this chapter, components of decision complexity can be seen as a tetrahedral structure with complexity as vertex in third dimension. Its base is a triangle with three vertices V 1, V 2 and V 3 (see Fig. 2.1). V 1 represents the vertex of uncertainty, its conception and developments through the ages from the Vedic to the present era. These have been dealt within Sects. 2.2, 2.3, 2.4 and 2.5, which provide a genesis for such developments. The next component of complexity represented by the vertex V 2 is dependence, which has been discussed in Sects. 2.6, 2.7, 2.8, 2.9, 2.10, 2.11, 2.12 and 2.13. Mankind’s awareness of its existence and the methodologies employed to explore and circumvent it have also been traced right from the Vedic and the post-Vedic era. However, only such methods have been mentioned which are popularly known and have been applied frequently and widely by empirical scientists. The third and the last component of complexity, that is dynamism, has been represented as the vertex V 3, the apex vertex of the base triangle of that tetrahedral structure, representing decision complexity. It has been summarized in Sects. 2.14, 2.15, 2.16 and 2.17, only to assert that mankind has been quite progressive on this front also, even though it has been relatively difficult to explore this aspect. This area has been difficult and is dependent on the developments in other areas. Advancements made in this field are relatively recent. Hence, they have found fewer applications, in spite of their prospective use in predictive modelling, essential in decision-making processes.
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Notes
- 1.
This is assessed and estimated, through barycentric or areal coordinates (with coordinate reading system, as explained in Sect 9.4 (Chap 9).
- 2.
It is worthwhile for interested readers to go through the article by Seneta (1981) on the history of probability.
- 3.
As indicated in Chap. 1.
- 4.
pp. 19–22.
- 5.
- 6.
This has been demonstrated very well through examples of Sect. 7.11 (in Chap. 7).
- 7.
Interested readers may refer to Jagdeo (1982) in encyclopaedic article.
- 8.
Further advancements made through the tables generated and presented in Chap. 8 of the book and are helpful in circumventing the increase in dimensionality up to two, making the user for the first time free from assumption of independence at least by one but most significant step.
- 9.
- 10.
Shown in examples given in Chap. 7.
- 11.
Examples in Sect. 7.11 (in Chap. 7) amply demonstrate some such features.
- 12.
- 13.
Refer to Feller’s An Introduction to Probability Theory and its Applications, Vol. 1.
- 14.
Refer to Winston’s Introduction to Probability Model: Operations Research.
- 15.
Further, in Sect. 7.10 (in Chap. 7), examples of bivariate-lagged variable values have been given to illustrate the fact that useful application of biquantile pairs is possible in dynamic paradigms considered in a time-series situation.
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Das, N.C. (2015). Decision Complexity and Methods to Meet Them. In: Decision Processes by Using Bivariate Normal Quantile Pairs. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2364-1_2
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