Abstract
ABSTRACTAn interval neutrosophic set (INS), characterised by the truth, indeterminacy and falsity membership functions, is a powerful structure for handling the uncertain, imprecise and incomplete information existing in the real world in a better way. Under this environment, an attempt is made to define the subtraction and division operations, by imposing some new constrained conditions, after removing the shortcomings of existing operations. The deficiencies of the existing operations are validated through some counterexamples. Further, various desirable properties related to these operations are investigated in detail. Finally, some numerical examples are provided to validate it.
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