First, you have to review existing works on the applications of IFS to oil and gas. Obviously, such applications must be carried out by information measures. Study such information measures and observe their limitations. Secondly, propose new information measures that would outperformed the information measures used in the applications to oil and gas. For the main work, you must provide comparative analysis and reliability analysis, respectively.

Dear Idris Muhammadu Adamu,

The application feild par excellence is approach for solving multi-criteria decision making problem, in diagnosis feild intuitionistic fuzzy soft matrices for disease diagnosis. Also they are an investigation on the NWBM and GNWBM operators under the intuitionistic fuzzy environment which is more common phenomenon in modern life.

For more information about this subject i suggest you to see links on topic.

https://research-publication.com/wp-content/uploads/2019/12/AMSJ-2019-N3-34.pdf

https://membership.sciencepublishinggroup.com/journal/paperinfo?journalid=605&doi=10.11648/j.dmath.20200501.12

https://www.academia.edu/31179085

https://ietresearch.onlinelibrary.wiley.com/doi/full/10.1049/joe.2018.8298

https://www.emeraldgrouppublishing.com/calls-for-papers/neutrosophical-approach-applications-management-decision-and-organizational

Best regards

You need to go through some review papers of fuzzy set or Intuitionistic fuzzy