Abstract
In this paper, the hesitant neutrosophic linguistic set is first defined by extending a hesitant fuzzy set to accommodate linguistic terms and neutrosophic fuzzy values. Some operational laws are defined for hesitant neutrosophic linguistic fuzzy information. Several distance measures have been defined including generalized hesitant neutrosophic linguistic distance, generalized hesitant neutrosophic linguistic Hausdorff distance, and generalized hesitant neutrosophic linguistic hybrid distance. Some hesitant neutrosophic fuzzy linguistic aggregation operators based on the Choquet integral have been defined. A new multiple attribute decision making method for hesitant neutrosophic fuzzy linguistic information has been developed based on TOPSIS. In order to illustrate the feasibility and practical advantages of the new algorithm, we use it to select a company to invest. The new method is then compared with other methods.
Highlights
With the development of society and the economy, decision problems have become increasingly complicated
L is the number of neutrosophic linguistic element (NLE) in the hesitant neutrosophic linguistic element (HNLE), g is the number of linguistic variables in the linguistic term set, lt is the number of truth-memberships in an NLE, li is the number of indeterminacy-membership in an NLE, l f is the number of falsity-membership in an NLE. 0 < cos(h1, h2 ) ≤ 1
Θi θi θi θi θi for i ≥ j. l is the number of NLEs in HNLE, g is the number of linguistic variables in the linguistic term set, lt is the number of truth-memberships in an NLE, li is the number of indeterminacy-membership in an NLE, l f is the number of falsity-membership in an NLE
Summary
With the development of society and the economy, decision problems have become increasingly complicated. Ye [11] combined trapezoidal fuzzy numbers with a single-valued neutrosophic set to propose a trapezoidal neutrosophic set and defined some trapezoidal neutrosophic fuzzy aggregation operators. Zhao et al [7] defined the generalized weighted aggregation operator for interval valued neutrosophic sets based on a traditional. Liu and Shi [15] defined the interval neutrosophic hesitant fuzzy set and developed some new interval neutrosophic hesitant fuzzy generalized hybrid aggregation operators. A new multiple attribute decision-making method based on hesitant neutrosophic linguistic information has been developed.
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