Ranking for Objects and Attribute Reductions in Intuitionistic Fuzzy Ordered Information Systems

Table 4

The discernibility matrix of the system in Example 3.1.

𝑥𝑖/𝑥𝑗	𝑥1	𝑥2	𝑥3	𝑥4	𝑥5	𝑥6	𝑥7	𝑥8	𝑥9	𝑥10
𝑥1	𝜙	𝜙	𝜙	𝜙	𝑎1𝑎2𝑎3	𝐴𝑇	𝑎2𝑎5	𝐴𝑇	𝐴𝑇	𝑎1𝑎2𝑎3𝑎5
𝑥2	𝐴𝑇	𝜙	𝜙	𝐴𝑇	𝐴𝑇	𝐴𝑇	𝐴𝑇	𝐴𝑇	𝐴𝑇	𝐴𝑇
𝑥3	𝑎1𝑎2𝑎3𝑎5	𝜙	𝜙	𝜙	𝐴𝑇	𝐴𝑇	𝑎1𝑎2𝑎3𝑎5	𝐴𝑇	𝐴𝑇	𝑎1𝑎2𝑎3𝑎5
𝑥4	𝐴𝑇	𝑎1𝑎3	𝑎1𝑎3𝑎4	𝜙	𝐴𝑇	𝐴𝑇	𝐴𝑇	𝐴𝑇	𝐴𝑇	𝐴𝑇
𝑥5	𝜙	𝜙	𝜙	𝜙	𝜙	𝜙	𝜙	𝑎4	𝑎2𝑎5	𝑎2𝑎5
𝑥6	𝑎1𝑎3	𝜙	𝜙	𝜙	𝑎1𝑎3	𝜙	𝑎1𝑎3𝑎5	𝑎1𝑎3𝑎4	𝑎1𝑎2𝑎3𝑎5	𝑎1𝑎2𝑎3𝑎5
𝑥7	𝜙	𝜙	𝜙	𝜙	𝐴𝑇	𝐴𝑇	𝜙	𝐴𝑇	𝐴𝑇	𝑎1𝑎2𝑎3𝑎5
𝑥8	𝜙	𝜙	𝜙	𝜙	𝑎1𝑎3	𝜙	𝜙	𝜙	𝑎2𝑎5	𝑎1𝑎2𝑎3𝑎5
𝑥9	𝑎4	𝜙	𝑎4	𝜙	𝑎1𝑎3𝑎4	𝑎4	𝑎4	𝑎4	𝜙	𝑎1𝑎3
𝑥10	𝑎4	𝜙	𝑎4	𝜙	𝑎4	𝑎4	𝑎4	𝑎4	𝑎4	𝜙