A New Approach to Evaluate Regular Semirings in terms of Bipolar Fuzzy k-Ideals Using k-Products

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Acronyms</td><td class="align_center">Representation</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left">FS</td><td class="align_center">Fuzzy set</td></tr><tr><td class="align_left">BF</td><td class="align_center">Bipolar fuzzy</td></tr><tr><td class="align_left">BFS</td><td class="align_center">Bipolar fuzzy set</td></tr><tr><td class="align_left"><i>k-BFSS</i></td><td class="align_center">Bipolar fuzzy <i>k</i>-subsemiring</td></tr><tr><td class="align_left"><i>k-BFI</i></td><td class="align_center">Bipolar fuzzy <i>k</i>-ideal</td></tr><tr><td class="align_left"><i>k-BFbI</i></td><td class="align_center">Bipolar fuzzy <i>k</i>-bi-ideal</td></tr><tr><td class="align_left">Iff</td><td class="align_center">if and only if</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Journal of Mathematics

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Table 1

Table 1: A New Approach to Evaluate Regular Semirings in terms of Bipolar Fuzzy k-Ideals Using k-Products 