Abstract

In 2018, we have propounded the notion of lattice-ordered interval-valued hesitant fuzzy soft set and some of its basic properties were discussed. In this present work, we inherit some essential definitions such as \(\mathcal {L}\)-optimistic interval-valued fuzzy soft set, \(\mathcal {L}\)-pessimistic interval-valued fuzzy soft set, \(\mathcal {L}\)-neutral interval-valued fuzzy soft set, \(\mathcal {L}\)-threshold interval-valued fuzzy set and Contra-\(\mathcal {L}\)-threshold interval-valued fuzzy set. Also a new technique has been implemented to solve a real-life problem by applying these definitions over lattice-ordered interval-valued hesitant fuzzy soft set.

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